Details

Time bar (total: 1.5s)

analyze210.0ms (13.7%)

Algorithm
search
egg-herbie
Rules
+-commutative_binary64_13307
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 1-exp_binary64_13421 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-rgt1-in_binary64_13333 distribute-lft1-in_binary64_13332 distribute-rgt-out--_binary64_13331 distribute-rgt-out_binary64_13330 distribute-lft-out--_binary64_13329 distribute-lft-out_binary64_13328 distribute-rgt-in_binary64_13327 distribute-lft-in_binary64_13326 count-2_binary64_13325 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-*l*_binary64_13318 associate-*r*_binary64_13317 associate--r-_binary64_13316 associate--l-_binary64_13315 associate--l+_binary64_13314 associate--r+_binary64_13313 associate-+l-_binary64_13312 associate-+r-_binary64_13311 associate-+l+_binary64_13310 associate-+r+_binary64_13309 *-commutative_binary64_13308
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
11118
21118
022
122
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
25%74.9%0.1%4
25%74.9%0.1%5
43.7%50%6.3%6
43.7%43.7%12.6%7
59.3%26.5%14.1%8
59.3%22.6%18%9
67.1%13.7%19.2%10
67.1%11.5%21.4%11
71%6.9%22%12
71%5.8%23.2%13
73%3.5%23.5%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample16.0ms (1%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 13 to 13 computations (0% saved)

simplify12.0ms (0.8%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_13307
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 1-exp_binary64_13421 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-rgt1-in_binary64_13333 distribute-lft1-in_binary64_13332 distribute-rgt-out--_binary64_13331 distribute-rgt-out_binary64_13330 distribute-lft-out--_binary64_13329 distribute-lft-out_binary64_13328 distribute-rgt-in_binary64_13327 distribute-lft-in_binary64_13326 count-2_binary64_13325 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-*l*_binary64_13318 associate-*r*_binary64_13317 associate--r-_binary64_13316 associate--l-_binary64_13315 associate--l+_binary64_13314 associate--r+_binary64_13313 associate-+l-_binary64_13312 associate-+r-_binary64_13311 associate-+l+_binary64_13310 associate-+r+_binary64_13309 *-commutative_binary64_13308
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
179
279

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
19.1b
Counts
1 → 1
Compiler

Compiled 6 to 5 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) y)
17.7b
(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite27.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
19.1b
Rules
add-log-exp_binary64_13416 add-sqr-sqrt_binary64_13399
pow1_binary64_13438 add-cube-cbrt_binary64_13412 sqrt-prod_binary64_13393 *-un-lft-identity_binary64_13377
add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413 flip3-+_binary64_13380 sqrt-div_binary64_13394 flip-+_binary64_13351
pow1/2_binary64_13457 sqrt-pow1_binary64_13395 rem-sqrt-square_binary64_13390 sum-log_binary64_13468 +-commutative_binary64_13307
Counts
2 → 26
Calls

2 calls:

4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
4.0ms
(+.f64 (*.f64 x x) y)
Compiler

Compiled 355 to 89 computations (74.9% saved)

series195.0ms (12.7%)

Error
0b
Counts
2 → 25
Calls

2 calls:

98.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
81.0ms
(+.f64 (*.f64 x x) y)
Compiler

Compiled 471 to 391 computations (17% saved)

simplify66.0ms (4.3%)

Algorithm
egg-herbie
Rules
480×times-frac_binary64_13383
251×associate-/l*_binary64_13322
240×unswap-sqr_binary64_13345
202×associate-/r*_binary64_13321
197×distribute-rgt-in_binary64_13327
192×cancel-sign-sub-inv_binary64_13343
186×difference-of-squares_binary64_13346
176×distribute-lft-in_binary64_13326
166×sub-neg_binary64_13370
162×associate-*l/_binary64_13320
143×associate-*l*_binary64_13318
142×associate-*r/_binary64_13319
126×associate-*r*_binary64_13317
108×distribute-rgt-neg-in_binary64_13335 distribute-lft-neg-in_binary64_13334
106×neg-mul-1_binary64_13373
102×neg-sub0_binary64_13372 distribute-rgt-out_binary64_13330
97×div-sub_binary64_13382
87×associate-+l+_binary64_13310
77×distribute-lft-out_binary64_13328
75×distribute-neg-frac_binary64_13341
68×sqr-pow_binary64_13349
52×associate-/l/_binary64_13324
50×*-commutative_binary64_13308
48×associate-/r/_binary64_13323
47×unsub-neg_binary64_13371
34×associate-+l-_binary64_13312
29×associate--r+_binary64_13313
23×+-commutative_binary64_13307
19×sub0-neg_binary64_13364 associate-+r-_binary64_13311
18×exp-prod_binary64_13429 pow-sqr_binary64_13350
17×pow-plus_binary64_13440
16×+-rgt-identity_binary64_13362
15×distribute-rgt-out--_binary64_13331
14×cube-unmult_binary64_13414
12×distribute-lft-neg-out_binary64_13336
11×cube-prod_binary64_13405
10×unpow3_binary64_13443
mul0-rgt_binary64_13360 mul0-lft_binary64_13359 distribute-neg-in_binary64_13338 associate-+r+_binary64_13309
distribute-lft-out--_binary64_13329 associate--r-_binary64_13316
div0_binary64_13358 distribute-rgt-neg-out_binary64_13337 associate--l+_binary64_13314
remove-double-neg_binary64_13365
exp-sum_binary64_13423 rem-sqrt-square_binary64_13390
unpow2_binary64_13442 cube-mult_binary64_13407
unpow1/2_binary64_13441 unpow1_binary64_13435 *-lft-identity_binary64_13366
log-prod_binary64_13463 prod-exp_binary64_13426 1-exp_binary64_13421 sqr-neg_binary64_13391 rem-square-sqrt_binary64_13389 mul-1-neg_binary64_13369 +-lft-identity_binary64_13361 cancel-sign-sub_binary64_13342 distribute-frac-neg_binary64_13340 count-2_binary64_13325
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 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-cube_binary64_13433 exp-lft-sqr_binary64_13432 exp-cbrt_binary64_13431 exp-sqrt_binary64_13430 div-exp_binary64_13428 rec-exp_binary64_13427 exp-diff_binary64_13425 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 /-rgt-identity_binary64_13368 *-rgt-identity_binary64_13367 --rgt-identity_binary64_13363 *-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 swap-sqr_binary64_13344 distribute-neg-out_binary64_13339 distribute-rgt1-in_binary64_13333 distribute-lft1-in_binary64_13332 associate--l-_binary64_13315
Counts
51 → 36
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067559
1158518
2380518
31228509
44273509
54920509

prune25.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337
Error
0b
Counts
37 → 3
Compiler

Compiled 384 to 126 computations (67.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (*.f64 1/2 (/.f64 y x)))

rewrite14.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64_13416
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
Counts
1 → 11
Calls

1 calls:

3.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))
Compiler

Compiled 178 to 96 computations (46.1% saved)

series136.0ms (8.9%)

Error
0b
Counts
1 → 12
Calls

1 calls:

130.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))
Compiler

Compiled 162 to 120 computations (25.9% saved)

simplify89.0ms (5.8%)

Algorithm
egg-herbie
Rules
707×distribute-rgt-in_binary64_13327
567×distribute-lft-in_binary64_13326
442×distribute-rgt-out_binary64_13330
354×associate-*l*_binary64_13318
352×associate-*l/_binary64_13320
321×div-sub_binary64_13382
295×associate-*r/_binary64_13319
273×associate-*r*_binary64_13317
252×associate-/l*_binary64_13322
208×cancel-sign-sub-inv_binary64_13343
163×distribute-lft-out_binary64_13328
160×unsub-neg_binary64_13371
115×distribute-rgt-neg-in_binary64_13335
111×sub-neg_binary64_13370
99×distribute-lft-neg-in_binary64_13334
98×distribute-neg-frac_binary64_13341
79×*-commutative_binary64_13308
74×neg-mul-1_binary64_13373
70×cube-prod_binary64_13405
69×neg-sub0_binary64_13372
67×sqr-pow_binary64_13349
60×distribute-rgt-out--_binary64_13331
55×times-frac_binary64_13383
51×associate-+l+_binary64_13310
50×associate-/l/_binary64_13324
47×associate-+r+_binary64_13309
42×mul0-lft_binary64_13359
41×mul0-rgt_binary64_13360
40×cube-div_binary64_13406
39×associate-/r/_binary64_13323
36×distribute-lft-neg-out_binary64_13336
32×associate-/r*_binary64_13321
28×exp-prod_binary64_13429 unswap-sqr_binary64_13345
27×unpow3_binary64_13443 +-commutative_binary64_13307
23×distribute-rgt-neg-out_binary64_13337
20×remove-double-neg_binary64_13365
19×cube-mult_binary64_13407
14×sub0-neg_binary64_13364 pow-sqr_binary64_13350 associate-+l-_binary64_13312
12×+-rgt-identity_binary64_13362 distribute-frac-neg_binary64_13340
11×cube-unmult_binary64_13414 associate-+r-_binary64_13311
10×pow-plus_binary64_13440 div0_binary64_13358
cube-neg_binary64_13404 distribute-neg-out_binary64_13339
distribute-lft-out--_binary64_13329
exp-diff_binary64_13425 exp-sum_binary64_13423 /-rgt-identity_binary64_13368 swap-sqr_binary64_13344 distribute-neg-in_binary64_13338
sqr-neg_binary64_13391 associate--r+_binary64_13313
unpow2_binary64_13442 *-rgt-identity_binary64_13367 *-lft-identity_binary64_13366 +-lft-identity_binary64_13361 difference-of-squares_binary64_13346
unpow1/2_binary64_13441 exp-lft-sqr_binary64_13432 prod-exp_binary64_13426 1-exp_binary64_13421 *-inverses_binary64_13357 distribute-rgt1-in_binary64_13333 associate--l+_binary64_13314
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 unpow1_binary64_13435 unpow-1_binary64_13434 exp-lft-cube_binary64_13433 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 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-sqrt-square_binary64_13390 rem-square-sqrt_binary64_13389 mul-1-neg_binary64_13369 --rgt-identity_binary64_13363 +-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 cancel-sign-sub_binary64_13342 distribute-lft1-in_binary64_13332 count-2_binary64_13325 associate--r-_binary64_13316 associate--l-_binary64_13315
Counts
23 → 10
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029286
196265
2292265
3860265
42524265
54629265
64619265
75110265

prune8.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New10010
Fresh011
Picked011
Done011
Total10313
Error
0b
Counts
13 → 3
Compiler

Compiled 113 to 59 computations (47.8% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify9.0ms (0.6%)

Algorithm
egg-herbie
Rules
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 1-exp_binary64_13421 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-rgt1-in_binary64_13333 distribute-lft1-in_binary64_13332 distribute-rgt-out--_binary64_13331 distribute-rgt-out_binary64_13330 distribute-lft-out--_binary64_13329 distribute-lft-out_binary64_13328 distribute-rgt-in_binary64_13327 distribute-lft-in_binary64_13326 count-2_binary64_13325 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-*l*_binary64_13318 associate-*r*_binary64_13317 associate--r-_binary64_13316 associate--l-_binary64_13315 associate--l+_binary64_13314 associate--r+_binary64_13313 associate-+l-_binary64_13312 associate-+r-_binary64_13311 associate-+l+_binary64_13310 associate-+r+_binary64_13309 *-commutative_binary64_13308 +-commutative_binary64_13307
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune0.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Compiler

Compiled 0 to 0 computations (0% saved)

regimes121.0ms (7.9%)

Accuracy

Total 0.0b remaining (72.4%)

Threshold costs 0.0b (72.4%)

Compiler

Compiled 180 to 195 computations (-8.3% saved)

bsearch23.0ms (1.5%)

Steps
ItersRangePoint
4
1.096990507285594e+144
1.93150497549743e+144
1.8097801408645324e+144
9
-8.5555788065557515e+155
-1.5837252046703713e+148
-1.329237901079107e+154
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_13307
neg-sub0_binary64_13372 sub-neg_binary64_13370 mul-1-neg_binary64_13369 *-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 unsub-neg_binary64_13371 /-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
01525
11825
22025
32125
42225
52225

end0.0ms (0%)

sample562.0ms (36.7%)

Algorithm
intervals
Results
207.0ms8000×body128valid
4.0ms181×body128nan
Compiler

Compiled 79 to 68 computations (13.9% saved)

Profiling

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