Details

Time bar (total: 4.3s)

analyze508.0ms (11.8%)

Algorithm
search
egg-herbie
Rules
15×*-commutative_binary64_13308
14×associate-+l+_binary64_13310
12×associate-*r*_binary64_13317 +-commutative_binary64_13307
associate-+r+_binary64_13309
distribute-rgt1-in_binary64_13333 distribute-lft1-in_binary64_13332 distribute-lft-out_binary64_13328 count-2_binary64_13325 associate-*l*_binary64_13318
distribute-rgt-out_binary64_13330
1-exp_binary64_13421 swap-x-y
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_13640 erf-erfc_binary64_13639 erf-odd_binary64_13638 if-if-and-not_binary64_13637 if-if-and_binary64_13636 if-if-or-not_binary64_13635 if-if-or_binary64_13634 if-not_binary64_13633 if-same_binary64_13632 if-false_binary64_13631 if-true_binary64_13630 not-gte_binary64_13629 not-lte_binary64_13628 not-gt_binary64_13627 not-lt_binary64_13626 gte-same_binary64_13625 lte-same_binary64_13624 gt-same_binary64_13623 lt-same_binary64_13622 sinh---cosh_binary64_13569 sinh-+-cosh_binary64_13568 sinh-cosh_binary64_13567 tanh-def-c_binary64_13566 tanh-def-b_binary64_13565 tanh-def-a_binary64_13564 cosh-def_binary64_13563 sinh-def_binary64_13562 tan-neg_binary64_13509 cos-neg_binary64_13508 sin-neg_binary64_13507 tan-0_binary64_13506 cos-0_binary64_13505 sin-0_binary64_13504 hang-m-tan_binary64_13503 hang-p-tan_binary64_13502 hang-m0-tan_binary64_13501 hang-p0-tan_binary64_13500 hang-0m-tan_binary64_13499 hang-0p-tan_binary64_13498 tan-+PI/2_binary64_13497 tan-+PI_binary64_13496 tan-PI_binary64_13495 tan-PI/3_binary64_13494 tan-PI/4_binary64_13493 tan-PI/6_binary64_13492 cos-+PI/2_binary64_13491 cos-+PI_binary64_13490 cos-PI_binary64_13489 cos-PI/2_binary64_13488 cos-PI/3_binary64_13487 cos-PI/4_binary64_13486 cos-PI/6_binary64_13485 sin-+PI/2_binary64_13484 sin-+PI_binary64_13483 sin-PI_binary64_13482 sin-PI/2_binary64_13481 sin-PI/3_binary64_13480 sin-PI/4_binary64_13479 sin-PI/6_binary64_13478 sub-1-sin_binary64_13477 sub-1-cos_binary64_13476 -1-add-sin_binary64_13475 -1-add-cos_binary64_13474 1-sub-sin_binary64_13473 1-sub-cos_binary64_13472 cos-sin-sum_binary64_13471 log-E_binary64_13467 log-pow_binary64_13466 log-rec_binary64_13465 log-div_binary64_13464 log-prod_binary64_13463 pow-base-0_binary64_13461 unpow1/3_binary64_13444 unpow3_binary64_13443 unpow2_binary64_13442 unpow1/2_binary64_13441 pow-plus_binary64_13440 exp-to-pow_binary64_13439 pow-base-1_binary64_13437 unpow0_binary64_13436 unpow1_binary64_13435 unpow-1_binary64_13434 exp-lft-cube_binary64_13433 exp-lft-sqr_binary64_13432 exp-cbrt_binary64_13431 exp-sqrt_binary64_13430 exp-prod_binary64_13429 div-exp_binary64_13428 rec-exp_binary64_13427 prod-exp_binary64_13426 exp-diff_binary64_13425 exp-neg_binary64_13424 exp-sum_binary64_13423 e-exp-1_binary64_13422 exp-1-e_binary64_13420 exp-0_binary64_13419 rem-log-exp_binary64_13418 rem-exp-log_binary64_13417 cube-unmult_binary64_13414 cube-mult_binary64_13407 cube-div_binary64_13406 cube-prod_binary64_13405 cube-neg_binary64_13404 rem-3cbrt-rft_binary64_13403 rem-3cbrt-lft_binary64_13402 rem-cbrt-cube_binary64_13401 rem-cube-cbrt_binary64_13400 sqr-abs_binary64_13392 sqr-neg_binary64_13391 rem-sqrt-square_binary64_13390 rem-square-sqrt_binary64_13389 times-frac_binary64_13383 div-sub_binary64_13382 neg-mul-1_binary64_13373 neg-sub0_binary64_13372 unsub-neg_binary64_13371 sub-neg_binary64_13370 mul-1-neg_binary64_13369 /-rgt-identity_binary64_13368 *-rgt-identity_binary64_13367 *-lft-identity_binary64_13366 remove-double-neg_binary64_13365 sub0-neg_binary64_13364 --rgt-identity_binary64_13363 +-rgt-identity_binary64_13362 +-lft-identity_binary64_13361 mul0-rgt_binary64_13360 mul0-lft_binary64_13359 div0_binary64_13358 *-inverses_binary64_13357 +-inverses_binary64_13356 lft-mult-inverse_binary64_13355 rgt-mult-inverse_binary64_13354 remove-double-div_binary64_13353 pow-sqr_binary64_13350 sqr-pow_binary64_13349 difference-of-sqr--1_binary64_13348 difference-of-sqr-1_binary64_13347 difference-of-squares_binary64_13346 unswap-sqr_binary64_13345 swap-sqr_binary64_13344 cancel-sign-sub-inv_binary64_13343 cancel-sign-sub_binary64_13342 distribute-neg-frac_binary64_13341 distribute-frac-neg_binary64_13340 distribute-neg-out_binary64_13339 distribute-neg-in_binary64_13338 distribute-rgt-neg-out_binary64_13337 distribute-lft-neg-out_binary64_13336 distribute-rgt-neg-in_binary64_13335 distribute-lft-neg-in_binary64_13334 distribute-rgt-out--_binary64_13331 distribute-lft-out--_binary64_13329 distribute-rgt-in_binary64_13327 distribute-lft-in_binary64_13326 associate-/l/_binary64_13324 associate-/r/_binary64_13323 associate-/l*_binary64_13322 associate-/r*_binary64_13321 associate-*l/_binary64_13320 associate-*r/_binary64_13319 associate--r-_binary64_13316 associate--l-_binary64_13315 associate--l+_binary64_13314 associate--r+_binary64_13313 associate-+l-_binary64_13312 associate-+r-_binary64_13311
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02388
14076
26852
39552
410652
510952
610752
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
31.2%64%4.8%9
31.2%42.1%26.7%10
35.9%37.1%27.1%11
38.2%32.2%29.6%12
47.8%21.6%30.6%13
50.2%19%30.8%14
Symmetry

(sort x y)

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample24.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_13308
associate-*r*_binary64_13317 associate-+l+_binary64_13310
associate-+r+_binary64_13309 +-commutative_binary64_13307
distribute-rgt1-in_binary64_13333 distribute-lft1-in_binary64_13332 distribute-lft-out_binary64_13328 count-2_binary64_13325 associate-*l*_binary64_13318
1-exp_binary64_13421 distribute-rgt-out_binary64_13330
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_13640 erf-erfc_binary64_13639 erf-odd_binary64_13638 if-if-and-not_binary64_13637 if-if-and_binary64_13636 if-if-or-not_binary64_13635 if-if-or_binary64_13634 if-not_binary64_13633 if-same_binary64_13632 if-false_binary64_13631 if-true_binary64_13630 not-gte_binary64_13629 not-lte_binary64_13628 not-gt_binary64_13627 not-lt_binary64_13626 gte-same_binary64_13625 lte-same_binary64_13624 gt-same_binary64_13623 lt-same_binary64_13622 sinh---cosh_binary64_13569 sinh-+-cosh_binary64_13568 sinh-cosh_binary64_13567 tanh-def-c_binary64_13566 tanh-def-b_binary64_13565 tanh-def-a_binary64_13564 cosh-def_binary64_13563 sinh-def_binary64_13562 tan-neg_binary64_13509 cos-neg_binary64_13508 sin-neg_binary64_13507 tan-0_binary64_13506 cos-0_binary64_13505 sin-0_binary64_13504 hang-m-tan_binary64_13503 hang-p-tan_binary64_13502 hang-m0-tan_binary64_13501 hang-p0-tan_binary64_13500 hang-0m-tan_binary64_13499 hang-0p-tan_binary64_13498 tan-+PI/2_binary64_13497 tan-+PI_binary64_13496 tan-PI_binary64_13495 tan-PI/3_binary64_13494 tan-PI/4_binary64_13493 tan-PI/6_binary64_13492 cos-+PI/2_binary64_13491 cos-+PI_binary64_13490 cos-PI_binary64_13489 cos-PI/2_binary64_13488 cos-PI/3_binary64_13487 cos-PI/4_binary64_13486 cos-PI/6_binary64_13485 sin-+PI/2_binary64_13484 sin-+PI_binary64_13483 sin-PI_binary64_13482 sin-PI/2_binary64_13481 sin-PI/3_binary64_13480 sin-PI/4_binary64_13479 sin-PI/6_binary64_13478 sub-1-sin_binary64_13477 sub-1-cos_binary64_13476 -1-add-sin_binary64_13475 -1-add-cos_binary64_13474 1-sub-sin_binary64_13473 1-sub-cos_binary64_13472 cos-sin-sum_binary64_13471 log-E_binary64_13467 log-pow_binary64_13466 log-rec_binary64_13465 log-div_binary64_13464 log-prod_binary64_13463 pow-base-0_binary64_13461 unpow1/3_binary64_13444 unpow3_binary64_13443 unpow2_binary64_13442 unpow1/2_binary64_13441 pow-plus_binary64_13440 exp-to-pow_binary64_13439 pow-base-1_binary64_13437 unpow0_binary64_13436 unpow1_binary64_13435 unpow-1_binary64_13434 exp-lft-cube_binary64_13433 exp-lft-sqr_binary64_13432 exp-cbrt_binary64_13431 exp-sqrt_binary64_13430 exp-prod_binary64_13429 div-exp_binary64_13428 rec-exp_binary64_13427 prod-exp_binary64_13426 exp-diff_binary64_13425 exp-neg_binary64_13424 exp-sum_binary64_13423 e-exp-1_binary64_13422 exp-1-e_binary64_13420 exp-0_binary64_13419 rem-log-exp_binary64_13418 rem-exp-log_binary64_13417 cube-unmult_binary64_13414 cube-mult_binary64_13407 cube-div_binary64_13406 cube-prod_binary64_13405 cube-neg_binary64_13404 rem-3cbrt-rft_binary64_13403 rem-3cbrt-lft_binary64_13402 rem-cbrt-cube_binary64_13401 rem-cube-cbrt_binary64_13400 sqr-abs_binary64_13392 sqr-neg_binary64_13391 rem-sqrt-square_binary64_13390 rem-square-sqrt_binary64_13389 times-frac_binary64_13383 div-sub_binary64_13382 neg-mul-1_binary64_13373 neg-sub0_binary64_13372 unsub-neg_binary64_13371 sub-neg_binary64_13370 mul-1-neg_binary64_13369 /-rgt-identity_binary64_13368 *-rgt-identity_binary64_13367 *-lft-identity_binary64_13366 remove-double-neg_binary64_13365 sub0-neg_binary64_13364 --rgt-identity_binary64_13363 +-rgt-identity_binary64_13362 +-lft-identity_binary64_13361 mul0-rgt_binary64_13360 mul0-lft_binary64_13359 div0_binary64_13358 *-inverses_binary64_13357 +-inverses_binary64_13356 lft-mult-inverse_binary64_13355 rgt-mult-inverse_binary64_13354 remove-double-div_binary64_13353 pow-sqr_binary64_13350 sqr-pow_binary64_13349 difference-of-sqr--1_binary64_13348 difference-of-sqr-1_binary64_13347 difference-of-squares_binary64_13346 unswap-sqr_binary64_13345 swap-sqr_binary64_13344 cancel-sign-sub-inv_binary64_13343 cancel-sign-sub_binary64_13342 distribute-neg-frac_binary64_13341 distribute-frac-neg_binary64_13340 distribute-neg-out_binary64_13339 distribute-neg-in_binary64_13338 distribute-rgt-neg-out_binary64_13337 distribute-lft-neg-out_binary64_13336 distribute-rgt-neg-in_binary64_13335 distribute-lft-neg-in_binary64_13334 distribute-rgt-out--_binary64_13331 distribute-lft-out--_binary64_13329 distribute-rgt-in_binary64_13327 distribute-lft-in_binary64_13326 associate-/l/_binary64_13324 associate-/r/_binary64_13323 associate-/l*_binary64_13322 associate-/r*_binary64_13321 associate-*l/_binary64_13320 associate-*r/_binary64_13319 associate--r-_binary64_13316 associate--l-_binary64_13315 associate--l+_binary64_13314 associate--r+_binary64_13313 associate-+l-_binary64_13312 associate-+r-_binary64_13311
Counts
1 → 1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0922
11619
22613
33713
44213
54313
64113

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 33 to 24 computations (27.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z z))
0.0b
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
0.1b
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))

rewrite68.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
19×add-log-exp_binary64_13416
10×sum-log_binary64_13468
pow1_binary64_13438 add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413 add-cube-cbrt_binary64_13412 add-sqr-sqrt_binary64_13399 flip3-+_binary64_13380 *-un-lft-identity_binary64_13377 flip-+_binary64_13351 +-commutative_binary64_13307
associate-+l+_binary64_13310
Counts
3 → 38
Calls

3 calls:

10.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
7.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z z))
Compiler

Compiled 1006 to 149 computations (85.2% saved)

series649.0ms (15.1%)

Error
0.0b
Counts
3 → 54
Calls

3 calls:

228.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
223.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
165.0ms
(+.f64 (*.f64 x y) (*.f64 z z))
Compiler

Compiled 1409 to 924 computations (34.4% saved)

simplify94.0ms (2.2%)

Algorithm
egg-herbie
Rules
548×associate--r+_binary64_13313
450×associate--l+_binary64_13314
387×distribute-rgt-in_binary64_13327
335×distribute-lft-in_binary64_13326
267×associate-*l*_binary64_13318
234×associate-*r*_binary64_13317
207×associate-+l+_binary64_13310
177×unswap-sqr_binary64_13345
161×sub-neg_binary64_13370
154×associate-+r+_binary64_13309
117×distribute-rgt-out--_binary64_13331
116×*-commutative_binary64_13308
111×distribute-neg-in_binary64_13338
110×distribute-rgt-neg-in_binary64_13335
107×exp-sum_binary64_13423
99×distribute-lft-neg-in_binary64_13334
87×associate--r-_binary64_13316
84×cancel-sign-sub-inv_binary64_13343
78×exp-diff_binary64_13425
76×exp-prod_binary64_13429
73×unsub-neg_binary64_13371
70×distribute-lft-out--_binary64_13329
62×associate--l-_binary64_13315
56×+-commutative_binary64_13307
48×sqr-pow_binary64_13349
44×associate-+r-_binary64_13311
41×distribute-rgt-out_binary64_13330
37×distribute-lft-neg-out_binary64_13336
35×neg-sub0_binary64_13372
34×neg-mul-1_binary64_13373 associate-+l-_binary64_13312
31×difference-of-squares_binary64_13346
21×distribute-rgt-neg-out_binary64_13337
20×+-rgt-identity_binary64_13362
16×unpow3_binary64_13443 sub0-neg_binary64_13364
14×distribute-lft-out_binary64_13328
12×distribute-lft1-in_binary64_13332
11×pow-sqr_binary64_13350 distribute-rgt1-in_binary64_13333
10×cube-unmult_binary64_13414 swap-sqr_binary64_13344
cube-prod_binary64_13405 cancel-sign-sub_binary64_13342
pow-plus_binary64_13440
mul0-rgt_binary64_13360 mul0-lft_binary64_13359 associate-/l*_binary64_13322
prod-exp_binary64_13426 cube-mult_binary64_13407 +-inverses_binary64_13356
count-2_binary64_13325
associate-/l/_binary64_13324
distribute-neg-out_binary64_13339 associate-*r/_binary64_13319
unpow2_binary64_13442 unpow1/2_binary64_13441 unpow1_binary64_13435 exp-lft-cube_binary64_13433 exp-lft-sqr_binary64_13432 1-exp_binary64_13421 rem-sqrt-square_binary64_13390 associate-/r/_binary64_13323 associate-/r*_binary64_13321
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_13640 erf-erfc_binary64_13639 erf-odd_binary64_13638 if-if-and-not_binary64_13637 if-if-and_binary64_13636 if-if-or-not_binary64_13635 if-if-or_binary64_13634 if-not_binary64_13633 if-same_binary64_13632 if-false_binary64_13631 if-true_binary64_13630 not-gte_binary64_13629 not-lte_binary64_13628 not-gt_binary64_13627 not-lt_binary64_13626 gte-same_binary64_13625 lte-same_binary64_13624 gt-same_binary64_13623 lt-same_binary64_13622 sinh---cosh_binary64_13569 sinh-+-cosh_binary64_13568 sinh-cosh_binary64_13567 tanh-def-c_binary64_13566 tanh-def-b_binary64_13565 tanh-def-a_binary64_13564 cosh-def_binary64_13563 sinh-def_binary64_13562 tan-neg_binary64_13509 cos-neg_binary64_13508 sin-neg_binary64_13507 tan-0_binary64_13506 cos-0_binary64_13505 sin-0_binary64_13504 hang-m-tan_binary64_13503 hang-p-tan_binary64_13502 hang-m0-tan_binary64_13501 hang-p0-tan_binary64_13500 hang-0m-tan_binary64_13499 hang-0p-tan_binary64_13498 tan-+PI/2_binary64_13497 tan-+PI_binary64_13496 tan-PI_binary64_13495 tan-PI/3_binary64_13494 tan-PI/4_binary64_13493 tan-PI/6_binary64_13492 cos-+PI/2_binary64_13491 cos-+PI_binary64_13490 cos-PI_binary64_13489 cos-PI/2_binary64_13488 cos-PI/3_binary64_13487 cos-PI/4_binary64_13486 cos-PI/6_binary64_13485 sin-+PI/2_binary64_13484 sin-+PI_binary64_13483 sin-PI_binary64_13482 sin-PI/2_binary64_13481 sin-PI/3_binary64_13480 sin-PI/4_binary64_13479 sin-PI/6_binary64_13478 sub-1-sin_binary64_13477 sub-1-cos_binary64_13476 -1-add-sin_binary64_13475 -1-add-cos_binary64_13474 1-sub-sin_binary64_13473 1-sub-cos_binary64_13472 cos-sin-sum_binary64_13471 log-E_binary64_13467 log-pow_binary64_13466 log-rec_binary64_13465 log-div_binary64_13464 log-prod_binary64_13463 pow-base-0_binary64_13461 unpow1/3_binary64_13444 exp-to-pow_binary64_13439 pow-base-1_binary64_13437 unpow0_binary64_13436 unpow-1_binary64_13434 exp-cbrt_binary64_13431 exp-sqrt_binary64_13430 div-exp_binary64_13428 rec-exp_binary64_13427 exp-neg_binary64_13424 e-exp-1_binary64_13422 exp-1-e_binary64_13420 exp-0_binary64_13419 rem-log-exp_binary64_13418 rem-exp-log_binary64_13417 cube-div_binary64_13406 cube-neg_binary64_13404 rem-3cbrt-rft_binary64_13403 rem-3cbrt-lft_binary64_13402 rem-cbrt-cube_binary64_13401 rem-cube-cbrt_binary64_13400 sqr-abs_binary64_13392 sqr-neg_binary64_13391 rem-square-sqrt_binary64_13389 times-frac_binary64_13383 div-sub_binary64_13382 mul-1-neg_binary64_13369 /-rgt-identity_binary64_13368 *-rgt-identity_binary64_13367 *-lft-identity_binary64_13366 remove-double-neg_binary64_13365 --rgt-identity_binary64_13363 +-lft-identity_binary64_13361 div0_binary64_13358 *-inverses_binary64_13357 lft-mult-inverse_binary64_13355 rgt-mult-inverse_binary64_13354 remove-double-div_binary64_13353 difference-of-sqr--1_binary64_13348 difference-of-sqr-1_binary64_13347 distribute-neg-frac_binary64_13341 distribute-frac-neg_binary64_13340 associate-*l/_binary64_13320
Counts
92 → 68
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0711316
12251230
26831115
325421115
447651115
548601115

prune55.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64468
Fresh011
Picked101
Done000
Total65570
Error
0.0b
Counts
70 → 5
Compiler

Compiled 1091 to 345 computations (68.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 2 (*.f64 z z)))
0.0b
(*.f64 2 (*.f64 z z))
0.1b
(+.f64 (+.f64 (*.f64 x y) (*.f64 2 (*.f64 z z))) (*.f64 z z))

rewrite66.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
10×add-log-exp_binary64_13416
pow1_binary64_13438 add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413
add-sqr-sqrt_binary64_13399
sum-log_binary64_13468 add-cube-cbrt_binary64_13412 *-un-lft-identity_binary64_13377
pow-prod-down_binary64_13448 prod-exp_binary64_13426 cbrt-unprod_binary64_13410 associate-*l*_binary64_13318
flip3-+_binary64_13380 flip-+_binary64_13351 +-commutative_binary64_13307
associate-+l+_binary64_13310 unswap-sqr_binary64_13345 associate-*r*_binary64_13317 *-commutative_binary64_13308
Counts
3 → 43
Calls

3 calls:

8.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 2 (*.f64 z z))) (*.f64 z z))
6.0ms
(*.f64 2 (*.f64 z z))
4.0ms
(+.f64 (*.f64 x y) (*.f64 2 (*.f64 z z)))
Compiler

Compiled 943 to 381 computations (59.6% saved)

series491.0ms (11.4%)

Error
0.0b
Counts
3 → 39
Calls

3 calls:

218.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 2 (*.f64 z z))) (*.f64 z z))
214.0ms
(+.f64 (*.f64 x y) (*.f64 2 (*.f64 z z)))
37.0ms
(*.f64 2 (*.f64 z z))
Compiler

Compiled 923 to 699 computations (24.3% saved)

simplify94.0ms (2.2%)

Algorithm
egg-herbie
Rules
486×associate-*l*_binary64_13318
414×associate-*r*_binary64_13317
379×cancel-sign-sub-inv_binary64_13343
360×distribute-rgt-out_binary64_13330
292×distribute-rgt-in_binary64_13327
280×sub-neg_binary64_13370
264×distribute-lft-in_binary64_13326
233×unswap-sqr_binary64_13345
192×distribute-rgt-neg-in_binary64_13335
164×distribute-lft-neg-in_binary64_13334
154×*-commutative_binary64_13308
131×distribute-lft-out_binary64_13328
118×neg-mul-1_binary64_13373
117×neg-sub0_binary64_13372
108×unsub-neg_binary64_13371
91×associate--r+_binary64_13313
90×associate-+l+_binary64_13310
71×distribute-rgt-out--_binary64_13331
67×associate--l+_binary64_13314
65×associate-+r+_binary64_13309
61×exp-prod_binary64_13429
60×sqr-pow_binary64_13349
49×distribute-lft-neg-out_binary64_13336
44×+-commutative_binary64_13307
42×log-prod_binary64_13463
41×exp-sum_binary64_13423
40×cube-prod_binary64_13405
38×distribute-neg-in_binary64_13338
23×distribute-rgt-neg-out_binary64_13337
21×prod-exp_binary64_13426
20×unpow3_binary64_13443
18×associate-+r-_binary64_13311
16×distribute-lft-out--_binary64_13329
15×cube-unmult_binary64_13414 swap-sqr_binary64_13344
14×associate-+l-_binary64_13312
13×exp-diff_binary64_13425 +-rgt-identity_binary64_13362 pow-sqr_binary64_13350
11×cube-mult_binary64_13407 difference-of-squares_binary64_13346
pow-plus_binary64_13440
sub0-neg_binary64_13364 associate--r-_binary64_13316
associate-/l*_binary64_13322
log-pow_binary64_13466 associate-/l/_binary64_13324 associate-*r/_binary64_13319
unpow1_binary64_13435 distribute-lft1-in_binary64_13332 count-2_binary64_13325
unpow1/2_binary64_13441 exp-lft-sqr_binary64_13432 times-frac_binary64_13383 div-sub_binary64_13382 distribute-rgt1-in_binary64_13333 associate-/r/_binary64_13323 associate-/r*_binary64_13321
unpow2_binary64_13442 exp-lft-cube_binary64_13433 1-exp_binary64_13421 sqr-neg_binary64_13391 rem-sqrt-square_binary64_13390 *-rgt-identity_binary64_13367 cancel-sign-sub_binary64_13342
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_13640 erf-erfc_binary64_13639 erf-odd_binary64_13638 if-if-and-not_binary64_13637 if-if-and_binary64_13636 if-if-or-not_binary64_13635 if-if-or_binary64_13634 if-not_binary64_13633 if-same_binary64_13632 if-false_binary64_13631 if-true_binary64_13630 not-gte_binary64_13629 not-lte_binary64_13628 not-gt_binary64_13627 not-lt_binary64_13626 gte-same_binary64_13625 lte-same_binary64_13624 gt-same_binary64_13623 lt-same_binary64_13622 sinh---cosh_binary64_13569 sinh-+-cosh_binary64_13568 sinh-cosh_binary64_13567 tanh-def-c_binary64_13566 tanh-def-b_binary64_13565 tanh-def-a_binary64_13564 cosh-def_binary64_13563 sinh-def_binary64_13562 tan-neg_binary64_13509 cos-neg_binary64_13508 sin-neg_binary64_13507 tan-0_binary64_13506 cos-0_binary64_13505 sin-0_binary64_13504 hang-m-tan_binary64_13503 hang-p-tan_binary64_13502 hang-m0-tan_binary64_13501 hang-p0-tan_binary64_13500 hang-0m-tan_binary64_13499 hang-0p-tan_binary64_13498 tan-+PI/2_binary64_13497 tan-+PI_binary64_13496 tan-PI_binary64_13495 tan-PI/3_binary64_13494 tan-PI/4_binary64_13493 tan-PI/6_binary64_13492 cos-+PI/2_binary64_13491 cos-+PI_binary64_13490 cos-PI_binary64_13489 cos-PI/2_binary64_13488 cos-PI/3_binary64_13487 cos-PI/4_binary64_13486 cos-PI/6_binary64_13485 sin-+PI/2_binary64_13484 sin-+PI_binary64_13483 sin-PI_binary64_13482 sin-PI/2_binary64_13481 sin-PI/3_binary64_13480 sin-PI/4_binary64_13479 sin-PI/6_binary64_13478 sub-1-sin_binary64_13477 sub-1-cos_binary64_13476 -1-add-sin_binary64_13475 -1-add-cos_binary64_13474 1-sub-sin_binary64_13473 1-sub-cos_binary64_13472 cos-sin-sum_binary64_13471 log-E_binary64_13467 log-rec_binary64_13465 log-div_binary64_13464 pow-base-0_binary64_13461 unpow1/3_binary64_13444 exp-to-pow_binary64_13439 pow-base-1_binary64_13437 unpow0_binary64_13436 unpow-1_binary64_13434 exp-cbrt_binary64_13431 exp-sqrt_binary64_13430 div-exp_binary64_13428 rec-exp_binary64_13427 exp-neg_binary64_13424 e-exp-1_binary64_13422 exp-1-e_binary64_13420 exp-0_binary64_13419 rem-log-exp_binary64_13418 rem-exp-log_binary64_13417 cube-div_binary64_13406 cube-neg_binary64_13404 rem-3cbrt-rft_binary64_13403 rem-3cbrt-lft_binary64_13402 rem-cbrt-cube_binary64_13401 rem-cube-cbrt_binary64_13400 sqr-abs_binary64_13392 rem-square-sqrt_binary64_13389 mul-1-neg_binary64_13369 /-rgt-identity_binary64_13368 *-lft-identity_binary64_13366 remove-double-neg_binary64_13365 --rgt-identity_binary64_13363 +-lft-identity_binary64_13361 mul0-rgt_binary64_13360 mul0-lft_binary64_13359 div0_binary64_13358 *-inverses_binary64_13357 +-inverses_binary64_13356 lft-mult-inverse_binary64_13355 rgt-mult-inverse_binary64_13354 remove-double-div_binary64_13353 difference-of-sqr--1_binary64_13348 difference-of-sqr-1_binary64_13347 distribute-neg-frac_binary64_13341 distribute-frac-neg_binary64_13340 distribute-neg-out_binary64_13339 associate-*l/_binary64_13320 associate--l-_binary64_13315
Counts
82 → 52
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0821068
12361014
2734981
32582972
44502972
55043972

prune41.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52052
Fresh044
Picked011
Done000
Total52557
Error
0.0b
Counts
57 → 5
Compiler

Compiled 763 to 328 computations (57% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 z (*.f64 z 3))

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_13438 add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413
pow-prod-down_binary64_13448 prod-exp_binary64_13426 cbrt-unprod_binary64_13410 associate-*l*_binary64_13318
add-cube-cbrt_binary64_13412 add-sqr-sqrt_binary64_13399 *-un-lft-identity_binary64_13377
add-log-exp_binary64_13416 associate-*r*_binary64_13317 *-commutative_binary64_13308
Counts
1 → 18
Calls

1 calls:

6.0ms
(*.f64 z (*.f64 z 3))
Compiler

Compiled 256 to 139 computations (45.7% saved)

series39.0ms (0.9%)

Error
0.0b
Counts
1 → 3
Calls

1 calls:

37.0ms
(*.f64 z (*.f64 z 3))
Compiler

Compiled 81 to 73 computations (9.9% saved)

simplify72.0ms (1.7%)

Algorithm
egg-herbie
Rules
467×times-frac_binary64_13383
432×distribute-rgt-in_binary64_13327
272×associate-*l*_binary64_13318
221×sqr-pow_binary64_13349
212×associate-*r/_binary64_13319
203×associate-*l/_binary64_13320
193×*-commutative_binary64_13308
159×unswap-sqr_binary64_13345
138×associate-*r*_binary64_13317
134×associate-/l*_binary64_13322
112×cube-prod_binary64_13405 associate-/l/_binary64_13324
111×associate-+l+_binary64_13310
109×pow-sqr_binary64_13350
106×log-prod_binary64_13463
101×log-div_binary64_13464 cube-div_binary64_13406
100×exp-prod_binary64_13429
93×associate-/r/_binary64_13323
88×distribute-rgt-out_binary64_13330
72×associate-+r+_binary64_13309
53×associate-/r*_binary64_13321
49×swap-sqr_binary64_13344
46×distribute-lft-out_binary64_13328
38×distribute-lft-in_binary64_13326
37×unpow3_binary64_13443
32×cube-mult_binary64_13407
28×log-pow_binary64_13466
16×pow-plus_binary64_13440
15×*-lft-identity_binary64_13366 +-commutative_binary64_13307
13×distribute-rgt1-in_binary64_13333
12×count-2_binary64_13325
10×*-rgt-identity_binary64_13367
prod-exp_binary64_13426 distribute-lft1-in_binary64_13332
exp-sqrt_binary64_13430
cube-unmult_binary64_13414
exp-lft-cube_binary64_13433 sub-neg_binary64_13370
unpow2_binary64_13442 exp-lft-sqr_binary64_13432 /-rgt-identity_binary64_13368
log-rec_binary64_13465 unpow1/2_binary64_13441 unpow1_binary64_13435 1-exp_binary64_13421 rem-sqrt-square_binary64_13390
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_13640 erf-erfc_binary64_13639 erf-odd_binary64_13638 if-if-and-not_binary64_13637 if-if-and_binary64_13636 if-if-or-not_binary64_13635 if-if-or_binary64_13634 if-not_binary64_13633 if-same_binary64_13632 if-false_binary64_13631 if-true_binary64_13630 not-gte_binary64_13629 not-lte_binary64_13628 not-gt_binary64_13627 not-lt_binary64_13626 gte-same_binary64_13625 lte-same_binary64_13624 gt-same_binary64_13623 lt-same_binary64_13622 sinh---cosh_binary64_13569 sinh-+-cosh_binary64_13568 sinh-cosh_binary64_13567 tanh-def-c_binary64_13566 tanh-def-b_binary64_13565 tanh-def-a_binary64_13564 cosh-def_binary64_13563 sinh-def_binary64_13562 tan-neg_binary64_13509 cos-neg_binary64_13508 sin-neg_binary64_13507 tan-0_binary64_13506 cos-0_binary64_13505 sin-0_binary64_13504 hang-m-tan_binary64_13503 hang-p-tan_binary64_13502 hang-m0-tan_binary64_13501 hang-p0-tan_binary64_13500 hang-0m-tan_binary64_13499 hang-0p-tan_binary64_13498 tan-+PI/2_binary64_13497 tan-+PI_binary64_13496 tan-PI_binary64_13495 tan-PI/3_binary64_13494 tan-PI/4_binary64_13493 tan-PI/6_binary64_13492 cos-+PI/2_binary64_13491 cos-+PI_binary64_13490 cos-PI_binary64_13489 cos-PI/2_binary64_13488 cos-PI/3_binary64_13487 cos-PI/4_binary64_13486 cos-PI/6_binary64_13485 sin-+PI/2_binary64_13484 sin-+PI_binary64_13483 sin-PI_binary64_13482 sin-PI/2_binary64_13481 sin-PI/3_binary64_13480 sin-PI/4_binary64_13479 sin-PI/6_binary64_13478 sub-1-sin_binary64_13477 sub-1-cos_binary64_13476 -1-add-sin_binary64_13475 -1-add-cos_binary64_13474 1-sub-sin_binary64_13473 1-sub-cos_binary64_13472 cos-sin-sum_binary64_13471 log-E_binary64_13467 pow-base-0_binary64_13461 unpow1/3_binary64_13444 exp-to-pow_binary64_13439 pow-base-1_binary64_13437 unpow0_binary64_13436 unpow-1_binary64_13434 exp-cbrt_binary64_13431 div-exp_binary64_13428 rec-exp_binary64_13427 exp-diff_binary64_13425 exp-neg_binary64_13424 exp-sum_binary64_13423 e-exp-1_binary64_13422 exp-1-e_binary64_13420 exp-0_binary64_13419 rem-log-exp_binary64_13418 rem-exp-log_binary64_13417 cube-neg_binary64_13404 rem-3cbrt-rft_binary64_13403 rem-3cbrt-lft_binary64_13402 rem-cbrt-cube_binary64_13401 rem-cube-cbrt_binary64_13400 sqr-abs_binary64_13392 sqr-neg_binary64_13391 rem-square-sqrt_binary64_13389 div-sub_binary64_13382 neg-mul-1_binary64_13373 neg-sub0_binary64_13372 unsub-neg_binary64_13371 mul-1-neg_binary64_13369 remove-double-neg_binary64_13365 sub0-neg_binary64_13364 --rgt-identity_binary64_13363 +-rgt-identity_binary64_13362 +-lft-identity_binary64_13361 mul0-rgt_binary64_13360 mul0-lft_binary64_13359 div0_binary64_13358 *-inverses_binary64_13357 +-inverses_binary64_13356 lft-mult-inverse_binary64_13355 rgt-mult-inverse_binary64_13354 remove-double-div_binary64_13353 difference-of-sqr--1_binary64_13348 difference-of-sqr-1_binary64_13347 difference-of-squares_binary64_13346 cancel-sign-sub-inv_binary64_13343 cancel-sign-sub_binary64_13342 distribute-neg-frac_binary64_13341 distribute-frac-neg_binary64_13340 distribute-neg-out_binary64_13339 distribute-neg-in_binary64_13338 distribute-rgt-neg-out_binary64_13337 distribute-lft-neg-out_binary64_13336 distribute-rgt-neg-in_binary64_13335 distribute-lft-neg-in_binary64_13334 distribute-rgt-out--_binary64_13331 distribute-lft-out--_binary64_13329 associate--r-_binary64_13316 associate--l-_binary64_13315 associate--l+_binary64_13314 associate--r+_binary64_13313 associate-+l-_binary64_13312 associate-+r-_binary64_13311
Counts
21 → 17
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036213
183177
2240168
3432166
4643166
51105166
62691166
74997166
84830166

prune19.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New14317
Fresh303
Picked011
Done011
Total17522
Error
0.0b
Counts
22 → 5
Compiler

Compiled 248 to 136 computations (45.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3 (*.f64 z z))
0.4b
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 z z))) (sqrt.f64 (*.f64 3 (*.f64 z z))))
20.5b
(sqrt.f64 (*.f64 3 (*.f64 z z)))
20.5b
(sqrt.f64 (*.f64 3 (*.f64 z z)))

rewrite164.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
148×pow1_binary64_13438
80×pow-prod-down_binary64_13448
66×sqrt-pow1_binary64_13395
17×pow-prod-up_binary64_13447
14×pow1/2_binary64_13457
12×add-sqr-sqrt_binary64_13399
11×add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413 pow-sqr_binary64_13350
add-cube-cbrt_binary64_13412 *-un-lft-identity_binary64_13377
associate-*l*_binary64_13318
sqrt-prod_binary64_13393
associate-*r*_binary64_13317
add-log-exp_binary64_13416 prod-exp_binary64_13426 cbrt-unprod_binary64_13410 swap-sqr_binary64_13344
unswap-sqr_binary64_13345 *-commutative_binary64_13308
pow2_binary64_13458 pow-plus_binary64_13440 sqrt-unprod_binary64_13397 rem-square-sqrt_binary64_13389
Counts
4 → 109
Calls

4 calls:

15.0ms
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 z z))) (sqrt.f64 (*.f64 3 (*.f64 z z))))
7.0ms
(sqrt.f64 (*.f64 3 (*.f64 z z)))
6.0ms
(*.f64 3 (*.f64 z z))
5.0ms
(sqrt.f64 (*.f64 3 (*.f64 z z)))
Compiler

Compiled 2280 to 1253 computations (45% saved)

series221.0ms (5.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

80.0ms
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 z z))) (sqrt.f64 (*.f64 3 (*.f64 z z))))
45.0ms
(sqrt.f64 (*.f64 3 (*.f64 z z)))
43.0ms
(sqrt.f64 (*.f64 3 (*.f64 z z)))
40.0ms
(*.f64 3 (*.f64 z z))
Compiler

Compiled 543 to 437 computations (19.5% saved)

simplify110.0ms (2.6%)

Algorithm
egg-herbie
Rules
545×associate-*r*_binary64_13317
378×unswap-sqr_binary64_13345
317×sqr-pow_binary64_13349
282×associate-/l*_binary64_13322
225×associate-/l/_binary64_13324
197×associate-/r/_binary64_13323
196×log-prod_binary64_13463
134×distribute-rgt-in_binary64_13327 *-commutative_binary64_13308
123×exp-prod_binary64_13429
115×pow-sqr_binary64_13350
108×distribute-lft-in_binary64_13326
93×swap-sqr_binary64_13344
92×cube-prod_binary64_13405
90×+-commutative_binary64_13307
86×associate-*l*_binary64_13318
68×distribute-lft-out_binary64_13328
59×log-div_binary64_13464
55×associate-+l+_binary64_13310
52×associate-+r+_binary64_13309
42×distribute-rgt-out_binary64_13330
39×times-frac_binary64_13383
37×pow-plus_binary64_13440
36×associate-*r/_binary64_13319
35×log-pow_binary64_13466 rem-sqrt-square_binary64_13390
32×unpow3_binary64_13443
29×*-lft-identity_binary64_13366 distribute-rgt-neg-in_binary64_13335
27×cube-mult_binary64_13407
23×distribute-lft-neg-in_binary64_13334 count-2_binary64_13325
18×associate-/r*_binary64_13321
17×neg-sub0_binary64_13372
15×neg-mul-1_binary64_13373
13×sub-neg_binary64_13370 *-rgt-identity_binary64_13367
unpow1/2_binary64_13441 cube-unmult_binary64_13414
unpow2_binary64_13442 prod-exp_binary64_13426
cube-div_binary64_13406 cancel-sign-sub-inv_binary64_13343
unpow1_binary64_13435 distribute-rgt1-in_binary64_13333
exp-lft-cube_binary64_13433 rem-square-sqrt_binary64_13389 unsub-neg_binary64_13371
log-rec_binary64_13465 mul-1-neg_binary64_13369 mul0-rgt_binary64_13360 mul0-lft_binary64_13359 distribute-lft-neg-out_binary64_13336 distribute-lft1-in_binary64_13332
exp-sqrt_binary64_13430 1-exp_binary64_13421 exp-1-e_binary64_13420 rem-3cbrt-rft_binary64_13403 rem-3cbrt-lft_binary64_13402 rem-cbrt-cube_binary64_13401 /-rgt-identity_binary64_13368 sub0-neg_binary64_13364 --rgt-identity_binary64_13363 associate-+l-_binary64_13312
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_13640 erf-erfc_binary64_13639 erf-odd_binary64_13638 if-if-and-not_binary64_13637 if-if-and_binary64_13636 if-if-or-not_binary64_13635 if-if-or_binary64_13634 if-not_binary64_13633 if-same_binary64_13632 if-false_binary64_13631 if-true_binary64_13630 not-gte_binary64_13629 not-lte_binary64_13628 not-gt_binary64_13627 not-lt_binary64_13626 gte-same_binary64_13625 lte-same_binary64_13624 gt-same_binary64_13623 lt-same_binary64_13622 sinh---cosh_binary64_13569 sinh-+-cosh_binary64_13568 sinh-cosh_binary64_13567 tanh-def-c_binary64_13566 tanh-def-b_binary64_13565 tanh-def-a_binary64_13564 cosh-def_binary64_13563 sinh-def_binary64_13562 tan-neg_binary64_13509 cos-neg_binary64_13508 sin-neg_binary64_13507 tan-0_binary64_13506 cos-0_binary64_13505 sin-0_binary64_13504 hang-m-tan_binary64_13503 hang-p-tan_binary64_13502 hang-m0-tan_binary64_13501 hang-p0-tan_binary64_13500 hang-0m-tan_binary64_13499 hang-0p-tan_binary64_13498 tan-+PI/2_binary64_13497 tan-+PI_binary64_13496 tan-PI_binary64_13495 tan-PI/3_binary64_13494 tan-PI/4_binary64_13493 tan-PI/6_binary64_13492 cos-+PI/2_binary64_13491 cos-+PI_binary64_13490 cos-PI_binary64_13489 cos-PI/2_binary64_13488 cos-PI/3_binary64_13487 cos-PI/4_binary64_13486 cos-PI/6_binary64_13485 sin-+PI/2_binary64_13484 sin-+PI_binary64_13483 sin-PI_binary64_13482 sin-PI/2_binary64_13481 sin-PI/3_binary64_13480 sin-PI/4_binary64_13479 sin-PI/6_binary64_13478 sub-1-sin_binary64_13477 sub-1-cos_binary64_13476 -1-add-sin_binary64_13475 -1-add-cos_binary64_13474 1-sub-sin_binary64_13473 1-sub-cos_binary64_13472 cos-sin-sum_binary64_13471 log-E_binary64_13467 pow-base-0_binary64_13461 unpow1/3_binary64_13444 exp-to-pow_binary64_13439 pow-base-1_binary64_13437 unpow0_binary64_13436 unpow-1_binary64_13434 exp-lft-sqr_binary64_13432 exp-cbrt_binary64_13431 div-exp_binary64_13428 rec-exp_binary64_13427 exp-diff_binary64_13425 exp-neg_binary64_13424 exp-sum_binary64_13423 e-exp-1_binary64_13422 exp-0_binary64_13419 rem-log-exp_binary64_13418 rem-exp-log_binary64_13417 cube-neg_binary64_13404 rem-cube-cbrt_binary64_13400 sqr-abs_binary64_13392 sqr-neg_binary64_13391 div-sub_binary64_13382 remove-double-neg_binary64_13365 +-rgt-identity_binary64_13362 +-lft-identity_binary64_13361 div0_binary64_13358 *-inverses_binary64_13357 +-inverses_binary64_13356 lft-mult-inverse_binary64_13355 rgt-mult-inverse_binary64_13354 remove-double-div_binary64_13353 difference-of-sqr--1_binary64_13348 difference-of-sqr-1_binary64_13347 difference-of-squares_binary64_13346 cancel-sign-sub_binary64_13342 distribute-neg-frac_binary64_13341 distribute-frac-neg_binary64_13340 distribute-neg-out_binary64_13339 distribute-neg-in_binary64_13338 distribute-rgt-neg-out_binary64_13337 distribute-rgt-out--_binary64_13331 distribute-lft-out--_binary64_13329 associate-*l/_binary64_13320 associate--r-_binary64_13316 associate--l-_binary64_13315 associate--l+_binary64_13314 associate--r+_binary64_13313 associate-+r-_binary64_13311
Counts
121 → 91
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0781061
1134907
2402884
31226871
42319772
53072772
64889772
74997772

prune82.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New88391
Fresh112
Picked101
Done022
Total90696
Error
0b
Counts
96 → 6
Compiler

Compiled 1341 to 711 computations (47% saved)

regimes384.0ms (8.9%)

Accuracy

Total 0.1b remaining (96.1%)

Threshold costs 0.1b (96.1%)

Compiler

Compiled 4296 to 2495 computations (41.9% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_13307
*-commutative_binary64_13308
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_13637 if-if-and_binary64_13636 if-if-or-not_binary64_13635 if-if-or_binary64_13634 if-not_binary64_13633 if-same_binary64_13632 if-false_binary64_13631 if-true_binary64_13630 tan-0_binary64_13506 cos-0_binary64_13505 sin-0_binary64_13504 unpow1_binary64_13435 e-exp-1_binary64_13422 1-exp_binary64_13421 exp-1-e_binary64_13420 exp-0_binary64_13419 sqr-abs_binary64_13392 sqr-neg_binary64_13391 neg-mul-1_binary64_13373 neg-sub0_binary64_13372 unsub-neg_binary64_13371 sub-neg_binary64_13370 mul-1-neg_binary64_13369 /-rgt-identity_binary64_13368 *-rgt-identity_binary64_13367 *-lft-identity_binary64_13366 remove-double-neg_binary64_13365 sub0-neg_binary64_13364 --rgt-identity_binary64_13363 +-rgt-identity_binary64_13362 +-lft-identity_binary64_13361 cancel-sign-sub-inv_binary64_13343 cancel-sign-sub_binary64_13342 distribute-neg-frac_binary64_13341 distribute-frac-neg_binary64_13340 distribute-neg-out_binary64_13339 distribute-neg-in_binary64_13338 distribute-rgt-neg-out_binary64_13337 distribute-lft-neg-out_binary64_13336 distribute-rgt-neg-in_binary64_13335 distribute-lft-neg-in_binary64_13334
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
11222
21222
Remove

(sort x y)

Compiler

Compiled 30 to 16 computations (46.7% saved)

end0.0ms (0%)

sample1.0s (24.2%)

Algorithm
intervals
Results
236.0ms8000×body128valid
12.0ms446×body128invalid
Compiler

Compiled 727 to 428 computations (41.1% saved)

Profiling

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