Details

analyze238.0ms (9.4%)

Algorithm

1×

Search

True	Other	False	Iter
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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify1.7s (69.3%)

Algorithm

1×	egg-herbie

Rules

517×	`distribute-rgt-out_binary64_11284`
516×	`distribute-rgt1-in_binary64_11287`
499×	`associate-r_binary64_11271`
466×	`sub-neg_binary64_11324`
455×	`distribute-rgt-out--_binary64_11285`
255×	`associate-l_binary64_11272`
225×	`cancel-sign-sub-inv_binary64_11297`
191×	`associate--l+_binary64_11268`
150×	`distribute-lft-out_binary64_11282`
144×	`distribute-lft-out--_binary64_11283`
136×	`associate--r-_binary64_11270`
134×	`associate--l-_binary64_11269`
46×	`distribute-lft1-in_binary64_11286`
41×	`unsub-neg_binary64_11325`
36×	`distribute-lft-neg-in_binary64_11288`
32×	`distribute-rgt-in_binary64_11281`
31×	`neg-mul-1_binary64_11327`
30×	`distribute-rgt-neg-in_binary64_11289`
29×	`neg-sub0_binary64_11326`
23×	`count-2_binary64_11279`
22×	`*-commutative_binary64_11262`
21×	`+-inverses_binary64_11310`
20×	`distribute-rgt-neg-out_binary64_11291`
15×	`distribute-neg-in_binary64_11292`
14×	`+-commutative_binary64_11261`
12×	`associate-+l-_binary64_11266`
10×	`sub0-neg_binary64_11318` `distribute-lft-in_binary64_11280`
9×	`distribute-neg-out_binary64_11293` `associate--r+_binary64_11267`
8×	`--rgt-identity_binary64_11317`
7×	`mul0-lft_binary64_11313`
6×	`mul0-rgt_binary64_11314` `associate-+r-_binary64_11265`
5×	`remove-double-neg_binary64_11319` `distribute-lft-neg-out_binary64_11290`
4×	`+-rgt-identity_binary64_11316` `+-lft-identity_binary64_11315` `associate-+l+_binary64_11264` `associate-+r+_binary64_11263`
3×	`cube-unmult_binary64_11368`
2×	`exp-sum_binary64_11377` `difference-of-squares_binary64_11300` `unswap-sqr_binary64_11299`
1×	`exp-lft-sqr_binary64_11386` `exp-diff_binary64_11379` `1-exp_binary64_11375` `sqr-neg_binary64_11345`
0×	`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_11594` `erf-erfc_binary64_11593` `erf-odd_binary64_11592` `if-if-and-not_binary64_11591` `if-if-and_binary64_11590` `if-if-or-not_binary64_11589` `if-if-or_binary64_11588` `if-not_binary64_11587` `if-same_binary64_11586` `if-false_binary64_11585` `if-true_binary64_11584` `not-gte_binary64_11583` `not-lte_binary64_11582` `not-gt_binary64_11581` `not-lt_binary64_11580` `gte-same_binary64_11579` `lte-same_binary64_11578` `gt-same_binary64_11577` `lt-same_binary64_11576` `sinh---cosh_binary64_11523` `sinh-+-cosh_binary64_11522` `sinh-cosh_binary64_11521` `tanh-def-c_binary64_11520` `tanh-def-b_binary64_11519` `tanh-def-a_binary64_11518` `cosh-def_binary64_11517` `sinh-def_binary64_11516` `tan-neg_binary64_11463` `cos-neg_binary64_11462` `sin-neg_binary64_11461` `tan-0_binary64_11460` `cos-0_binary64_11459` `sin-0_binary64_11458` `hang-m-tan_binary64_11457` `hang-p-tan_binary64_11456` `hang-m0-tan_binary64_11455` `hang-p0-tan_binary64_11454` `hang-0m-tan_binary64_11453` `hang-0p-tan_binary64_11452` `tan-+PI/2_binary64_11451` `tan-+PI_binary64_11450` `tan-PI_binary64_11449` `tan-PI/3_binary64_11448` `tan-PI/4_binary64_11447` `tan-PI/6_binary64_11446` `cos-+PI/2_binary64_11445` `cos-+PI_binary64_11444` `cos-PI_binary64_11443` `cos-PI/2_binary64_11442` `cos-PI/3_binary64_11441` `cos-PI/4_binary64_11440` `cos-PI/6_binary64_11439` `sin-+PI/2_binary64_11438` `sin-+PI_binary64_11437` `sin-PI_binary64_11436` `sin-PI/2_binary64_11435` `sin-PI/3_binary64_11434` `sin-PI/4_binary64_11433` `sin-PI/6_binary64_11432` `sub-1-sin_binary64_11431` `sub-1-cos_binary64_11430` `-1-add-sin_binary64_11429` `-1-add-cos_binary64_11428` `1-sub-sin_binary64_11427` `1-sub-cos_binary64_11426` `cos-sin-sum_binary64_11425` `log-E_binary64_11421` `log-pow_binary64_11420` `log-rec_binary64_11419` `log-div_binary64_11418` `log-prod_binary64_11417` `pow-base-0_binary64_11415` `unpow1/3_binary64_11398` `unpow3_binary64_11397` `unpow2_binary64_11396` `unpow1/2_binary64_11395` `pow-plus_binary64_11394` `exp-to-pow_binary64_11393` `pow-base-1_binary64_11391` `unpow0_binary64_11390` `unpow1_binary64_11389` `unpow-1_binary64_11388` `exp-lft-cube_binary64_11387` `exp-cbrt_binary64_11385` `exp-sqrt_binary64_11384` `exp-prod_binary64_11383` `div-exp_binary64_11382` `rec-exp_binary64_11381` `prod-exp_binary64_11380` `exp-neg_binary64_11378` `e-exp-1_binary64_11376` `exp-1-e_binary64_11374` `exp-0_binary64_11373` `rem-log-exp_binary64_11372` `rem-exp-log_binary64_11371` `cube-mult_binary64_11361` `cube-div_binary64_11360` `cube-prod_binary64_11359` `cube-neg_binary64_11358` `rem-3cbrt-rft_binary64_11357` `rem-3cbrt-lft_binary64_11356` `rem-cbrt-cube_binary64_11355` `rem-cube-cbrt_binary64_11354` `sqr-abs_binary64_11346` `rem-sqrt-square_binary64_11344` `rem-square-sqrt_binary64_11343` `times-frac_binary64_11337` `div-sub_binary64_11336` `mul-1-neg_binary64_11323` `/-rgt-identity_binary64_11322` `-rgt-identity_binary64_11321` `-lft-identity_binary64_11320` `div0_binary64_11312` `-inverses_binary64_11311` `lft-mult-inverse_binary64_11309` `rgt-mult-inverse_binary64_11308` `remove-double-div_binary64_11307` `pow-sqr_binary64_11304` `sqr-pow_binary64_11303` `difference-of-sqr--1_binary64_11302` `difference-of-sqr-1_binary64_11301` `swap-sqr_binary64_11298` `cancel-sign-sub_binary64_11296` `distribute-neg-frac_binary64_11295` `distribute-frac-neg_binary64_11294` `associate-/l/_binary64_11278` `associate-/r/_binary64_11277` `associate-/l_binary64_11276` `associate-/r_binary64_11275` `associate-l/_binary64_11274` `associate-*r/_binary64_11273`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	42	10
3	82	10
4	99	10
5	143	10
6	225	10
7	3270	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

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 (0.4%)

Algorithm

1×	egg-herbie

Rules

0× 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_11594 erf-erfc_binary64_11593 erf-odd_binary64_11592 if-if-and-not_binary64_11591 if-if-and_binary64_11590 if-if-or-not_binary64_11589 if-if-or_binary64_11588 if-not_binary64_11587 if-same_binary64_11586 if-false_binary64_11585 if-true_binary64_11584 not-gte_binary64_11583 not-lte_binary64_11582 not-gt_binary64_11581 not-lt_binary64_11580 gte-same_binary64_11579 lte-same_binary64_11578 gt-same_binary64_11577 lt-same_binary64_11576 sinh---cosh_binary64_11523 sinh-+-cosh_binary64_11522 sinh-cosh_binary64_11521 tanh-def-c_binary64_11520 tanh-def-b_binary64_11519 tanh-def-a_binary64_11518 cosh-def_binary64_11517 sinh-def_binary64_11516 tan-neg_binary64_11463 cos-neg_binary64_11462 sin-neg_binary64_11461 tan-0_binary64_11460 cos-0_binary64_11459 sin-0_binary64_11458 hang-m-tan_binary64_11457 hang-p-tan_binary64_11456 hang-m0-tan_binary64_11455 hang-p0-tan_binary64_11454 hang-0m-tan_binary64_11453 hang-0p-tan_binary64_11452 tan-+PI/2_binary64_11451 tan-+PI_binary64_11450 tan-PI_binary64_11449 tan-PI/3_binary64_11448 tan-PI/4_binary64_11447 tan-PI/6_binary64_11446 cos-+PI/2_binary64_11445 cos-+PI_binary64_11444 cos-PI_binary64_11443 cos-PI/2_binary64_11442 cos-PI/3_binary64_11441 cos-PI/4_binary64_11440 cos-PI/6_binary64_11439 sin-+PI/2_binary64_11438 sin-+PI_binary64_11437 sin-PI_binary64_11436 sin-PI/2_binary64_11435 sin-PI/3_binary64_11434 sin-PI/4_binary64_11433 sin-PI/6_binary64_11432 sub-1-sin_binary64_11431 sub-1-cos_binary64_11430 -1-add-sin_binary64_11429 -1-add-cos_binary64_11428 1-sub-sin_binary64_11427 1-sub-cos_binary64_11426 cos-sin-sum_binary64_11425 log-E_binary64_11421 log-pow_binary64_11420 log-rec_binary64_11419 log-div_binary64_11418 log-prod_binary64_11417 pow-base-0_binary64_11415 unpow1/3_binary64_11398 unpow3_binary64_11397 unpow2_binary64_11396 unpow1/2_binary64_11395 pow-plus_binary64_11394 exp-to-pow_binary64_11393 pow-base-1_binary64_11391 unpow0_binary64_11390 unpow1_binary64_11389 unpow-1_binary64_11388 exp-lft-cube_binary64_11387 exp-lft-sqr_binary64_11386 exp-cbrt_binary64_11385 exp-sqrt_binary64_11384 exp-prod_binary64_11383 div-exp_binary64_11382 rec-exp_binary64_11381 prod-exp_binary64_11380 exp-diff_binary64_11379 exp-neg_binary64_11378 exp-sum_binary64_11377 e-exp-1_binary64_11376 1-exp_binary64_11375 exp-1-e_binary64_11374 exp-0_binary64_11373 rem-log-exp_binary64_11372 rem-exp-log_binary64_11371 cube-unmult_binary64_11368 cube-mult_binary64_11361 cube-div_binary64_11360 cube-prod_binary64_11359 cube-neg_binary64_11358 rem-3cbrt-rft_binary64_11357 rem-3cbrt-lft_binary64_11356 rem-cbrt-cube_binary64_11355 rem-cube-cbrt_binary64_11354 sqr-abs_binary64_11346 sqr-neg_binary64_11345 rem-sqrt-square_binary64_11344 rem-square-sqrt_binary64_11343 times-frac_binary64_11337 div-sub_binary64_11336 neg-mul-1_binary64_11327 neg-sub0_binary64_11326 unsub-neg_binary64_11325 sub-neg_binary64_11324 mul-1-neg_binary64_11323 /-rgt-identity_binary64_11322 *-rgt-identity_binary64_11321 *-lft-identity_binary64_11320 remove-double-neg_binary64_11319 sub0-neg_binary64_11318 --rgt-identity_binary64_11317 +-rgt-identity_binary64_11316 +-lft-identity_binary64_11315 mul0-rgt_binary64_11314 mul0-lft_binary64_11313 div0_binary64_11312 *-inverses_binary64_11311 +-inverses_binary64_11310 lft-mult-inverse_binary64_11309 rgt-mult-inverse_binary64_11308 remove-double-div_binary64_11307 pow-sqr_binary64_11304 sqr-pow_binary64_11303 difference-of-sqr--1_binary64_11302 difference-of-sqr-1_binary64_11301 difference-of-squares_binary64_11300 unswap-sqr_binary64_11299 swap-sqr_binary64_11298 cancel-sign-sub-inv_binary64_11297 cancel-sign-sub_binary64_11296 distribute-neg-frac_binary64_11295 distribute-frac-neg_binary64_11294 distribute-neg-out_binary64_11293 distribute-neg-in_binary64_11292 distribute-rgt-neg-out_binary64_11291 distribute-lft-neg-out_binary64_11290 distribute-rgt-neg-in_binary64_11289 distribute-lft-neg-in_binary64_11288 distribute-rgt1-in_binary64_11287 distribute-lft1-in_binary64_11286 distribute-rgt-out--_binary64_11285 distribute-rgt-out_binary64_11284 distribute-lft-out--_binary64_11283 distribute-lft-out_binary64_11282 distribute-rgt-in_binary64_11281 distribute-lft-in_binary64_11280 count-2_binary64_11279 associate-/l/_binary64_11278 associate-/r/_binary64_11277 associate-/l*_binary64_11276 associate-/r*_binary64_11275 associate-*l/_binary64_11274 associate-*r/_binary64_11273 associate-*l*_binary64_11272 associate-*r*_binary64_11271 associate--r-_binary64_11270 associate--l-_binary64_11269 associate--l+_binary64_11268 associate--r+_binary64_11267 associate-+l-_binary64_11266 associate-+r-_binary64_11265 associate-+l+_binary64_11264 associate-+r+_binary64_11263 *-commutative_binary64_11262 +-commutative_binary64_11261

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64_11262`
6×	`sub-neg_binary64_11324` `+-commutative_binary64_11261`
5×	`neg-mul-1_binary64_11327` `neg-sub0_binary64_11326`
4×	`distribute-rgt-neg-in_binary64_11289`
3×	`distribute-lft-neg-in_binary64_11288`
2×	`cancel-sign-sub-inv_binary64_11297`
1×	`distribute-lft-neg-out_binary64_11290`
0×	`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_11591` `if-if-and_binary64_11590` `if-if-or-not_binary64_11589` `if-if-or_binary64_11588` `if-not_binary64_11587` `if-same_binary64_11586` `if-false_binary64_11585` `if-true_binary64_11584` `tan-0_binary64_11460` `cos-0_binary64_11459` `sin-0_binary64_11458` `unpow1_binary64_11389` `e-exp-1_binary64_11376` `1-exp_binary64_11375` `exp-1-e_binary64_11374` `exp-0_binary64_11373` `sqr-abs_binary64_11346` `sqr-neg_binary64_11345` `unsub-neg_binary64_11325` `mul-1-neg_binary64_11323` `/-rgt-identity_binary64_11322` `-rgt-identity_binary64_11321` `-lft-identity_binary64_11320` `remove-double-neg_binary64_11319` `sub0-neg_binary64_11318` `--rgt-identity_binary64_11317` `+-rgt-identity_binary64_11316` `+-lft-identity_binary64_11315` `cancel-sign-sub_binary64_11296` `distribute-neg-frac_binary64_11295` `distribute-frac-neg_binary64_11294` `distribute-neg-out_binary64_11293` `distribute-neg-in_binary64_11292` `distribute-rgt-neg-out_binary64_11291`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	31	10
3	41	10
4	49	10
5	52	10

Proof

(- f64 h0 (* f64 (* f64 h1 4) h2))

end0.0ms (0%)

sample499.0ms (19.7%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	128	valid
7.0ms	301×	body	128	invalid

Compiler

Compiled 22 to 25 computations (-13.6% saved)

Details

analyze238.0ms (9.4%)

sample16.0ms (0.6%)

simplify1.7s (69.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.4%)

prune1.0ms (0.1%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample499.0ms (19.7%)

Profiling