Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.6%	0.2%	0.2%	11
99.6%	0.1%	0.3%	12
99.6%	0%	0.3%	13
99.6%	0%	0.4%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample12.0ms (0.9%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify936.0ms (70.7%)

Algorithm

1×	egg-herbie

Rules

1253×	`exp-prod_binary64_9337`
551×	`distribute-rgt-out--_binary64_9239`
523×	`distribute-rgt-out_binary64_9238`
516×	`cube-prod_binary64_9313`
441×	`swap-sqr_binary64_9252`
329×	`distribute-rgt-neg-in_binary64_9243`
301×	`exp-diff_binary64_9333`
279×	`exp-sum_binary64_9331`
276×	`div-sub_binary64_9290`
259×	`sub-neg_binary64_9278`
196×	`associate--r-_binary64_9224`
184×	`cancel-sign-sub-inv_binary64_9251`
180×	`unsub-neg_binary64_9279`
174×	`*-commutative_binary64_9216`
141×	`neg-mul-1_binary64_9281`
138×	`associate--l-_binary64_9223`
127×	`associate-+r-_binary64_9219`
122×	`pow-plus_binary64_9348`
89×	`associate-+l-_binary64_9220`
73×	`+-commutative_binary64_9215`
55×	`distribute-lft-neg-in_binary64_9242`
50×	`distribute-rgt1-in_binary64_9241`
49×	`distribute-neg-out_binary64_9247`
40×	`distribute-rgt-in_binary64_9235`
38×	`neg-sub0_binary64_9280`
37×	`sqr-pow_binary64_9257`
27×	`distribute-neg-in_binary64_9246`
23×	`associate-r_binary64_9225`
20×	`distribute-lft-in_binary64_9234`
19×	`associate--r+_binary64_9221`
17×	`sqr-neg_binary64_9299`
15×	`+-inverses_binary64_9264` `difference-of-squares_binary64_9254` `associate-+l+_binary64_9218`
14×	`pow-base-1_binary64_9345` `associate-+r+_binary64_9217`
13×	`count-2_binary64_9233`
12×	`distribute-rgt-neg-out_binary64_9245` `distribute-lft-neg-out_binary64_9244`
11×	`cube-unmult_binary64_9322` `remove-double-neg_binary64_9273` `distribute-lft1-in_binary64_9240`
10×	`exp-lft-sqr_binary64_9340` `pow-sqr_binary64_9258` `associate--l+_binary64_9222`
6×	`-rgt-identity_binary64_9275` `-lft-identity_binary64_9274` `mul0-lft_binary64_9267`
5×	`sub0-neg_binary64_9272` `+-rgt-identity_binary64_9270` `associate-l/_binary64_9228` `associate-l*_binary64_9226`
4×	`+-lft-identity_binary64_9269` `mul0-rgt_binary64_9268`
3×	`difference-of-sqr--1_binary64_9256` `distribute-lft-out--_binary64_9237` `distribute-lft-out_binary64_9236`
2×	`exp-neg_binary64_9332` `cube-div_binary64_9314` `--rgt-identity_binary64_9271`
1×	`unpow3_binary64_9351` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `cube-neg_binary64_9312` `distribute-neg-frac_binary64_9249`
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_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `log-pow_binary64_9374` `log-rec_binary64_9373` `log-div_binary64_9372` `log-prod_binary64_9371` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow2_binary64_9350` `unpow1/2_binary64_9349` `exp-to-pow_binary64_9347` `unpow0_binary64_9344` `unpow1_binary64_9343` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-cbrt_binary64_9339` `exp-sqrt_binary64_9338` `div-exp_binary64_9336` `rec-exp_binary64_9335` `prod-exp_binary64_9334` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `cube-mult_binary64_9315` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `rem-sqrt-square_binary64_9298` `rem-square-sqrt_binary64_9297` `times-frac_binary64_9291` `mul-1-neg_binary64_9277` `/-rgt-identity_binary64_9276` `div0_binary64_9266` `-inverses_binary64_9265` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `remove-double-div_binary64_9261` `difference-of-sqr-1_binary64_9255` `unswap-sqr_binary64_9253` `cancel-sign-sub_binary64_9250` `distribute-frac-neg_binary64_9248` `associate-/l/_binary64_9232` `associate-/r/_binary64_9231` `associate-/l_binary64_9230` `associate-/r_binary64_9229` `associate-r/_binary64_9227`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	14	7
3	20	7
4	34	7
5	53	7
6	111	7
7	255	7
8	1839	7
9	2488	7

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

1 → 1

Compiler

Compiled 5 to 5 computations (0% saved)

localize3.0ms (0.3%)

rewrite1.0ms (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 (0.7%)

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_9548 erf-erfc_binary64_9547 erf-odd_binary64_9546 if-if-and-not_binary64_9545 if-if-and_binary64_9544 if-if-or-not_binary64_9543 if-if-or_binary64_9542 if-not_binary64_9541 if-same_binary64_9540 if-false_binary64_9539 if-true_binary64_9538 not-gte_binary64_9537 not-lte_binary64_9536 not-gt_binary64_9535 not-lt_binary64_9534 gte-same_binary64_9533 lte-same_binary64_9532 gt-same_binary64_9531 lt-same_binary64_9530 sinh---cosh_binary64_9477 sinh-+-cosh_binary64_9476 sinh-cosh_binary64_9475 tanh-def-c_binary64_9474 tanh-def-b_binary64_9473 tanh-def-a_binary64_9472 cosh-def_binary64_9471 sinh-def_binary64_9470 tan-neg_binary64_9417 cos-neg_binary64_9416 sin-neg_binary64_9415 tan-0_binary64_9414 cos-0_binary64_9413 sin-0_binary64_9412 hang-m-tan_binary64_9411 hang-p-tan_binary64_9410 hang-m0-tan_binary64_9409 hang-p0-tan_binary64_9408 hang-0m-tan_binary64_9407 hang-0p-tan_binary64_9406 tan-+PI/2_binary64_9405 tan-+PI_binary64_9404 tan-PI_binary64_9403 tan-PI/3_binary64_9402 tan-PI/4_binary64_9401 tan-PI/6_binary64_9400 cos-+PI/2_binary64_9399 cos-+PI_binary64_9398 cos-PI_binary64_9397 cos-PI/2_binary64_9396 cos-PI/3_binary64_9395 cos-PI/4_binary64_9394 cos-PI/6_binary64_9393 sin-+PI/2_binary64_9392 sin-+PI_binary64_9391 sin-PI_binary64_9390 sin-PI/2_binary64_9389 sin-PI/3_binary64_9388 sin-PI/4_binary64_9387 sin-PI/6_binary64_9386 sub-1-sin_binary64_9385 sub-1-cos_binary64_9384 -1-add-sin_binary64_9383 -1-add-cos_binary64_9382 1-sub-sin_binary64_9381 1-sub-cos_binary64_9380 cos-sin-sum_binary64_9379 log-E_binary64_9375 log-pow_binary64_9374 log-rec_binary64_9373 log-div_binary64_9372 log-prod_binary64_9371 pow-base-0_binary64_9369 unpow1/3_binary64_9352 unpow3_binary64_9351 unpow2_binary64_9350 unpow1/2_binary64_9349 pow-plus_binary64_9348 exp-to-pow_binary64_9347 pow-base-1_binary64_9345 unpow0_binary64_9344 unpow1_binary64_9343 unpow-1_binary64_9342 exp-lft-cube_binary64_9341 exp-lft-sqr_binary64_9340 exp-cbrt_binary64_9339 exp-sqrt_binary64_9338 exp-prod_binary64_9337 div-exp_binary64_9336 rec-exp_binary64_9335 prod-exp_binary64_9334 exp-diff_binary64_9333 exp-neg_binary64_9332 exp-sum_binary64_9331 e-exp-1_binary64_9330 1-exp_binary64_9329 exp-1-e_binary64_9328 exp-0_binary64_9327 rem-log-exp_binary64_9326 rem-exp-log_binary64_9325 cube-unmult_binary64_9322 cube-mult_binary64_9315 cube-div_binary64_9314 cube-prod_binary64_9313 cube-neg_binary64_9312 rem-3cbrt-rft_binary64_9311 rem-3cbrt-lft_binary64_9310 rem-cbrt-cube_binary64_9309 rem-cube-cbrt_binary64_9308 sqr-abs_binary64_9300 sqr-neg_binary64_9299 rem-sqrt-square_binary64_9298 rem-square-sqrt_binary64_9297 times-frac_binary64_9291 div-sub_binary64_9290 neg-mul-1_binary64_9281 neg-sub0_binary64_9280 unsub-neg_binary64_9279 sub-neg_binary64_9278 mul-1-neg_binary64_9277 /-rgt-identity_binary64_9276 *-rgt-identity_binary64_9275 *-lft-identity_binary64_9274 remove-double-neg_binary64_9273 sub0-neg_binary64_9272 --rgt-identity_binary64_9271 +-rgt-identity_binary64_9270 +-lft-identity_binary64_9269 mul0-rgt_binary64_9268 mul0-lft_binary64_9267 div0_binary64_9266 *-inverses_binary64_9265 +-inverses_binary64_9264 lft-mult-inverse_binary64_9263 rgt-mult-inverse_binary64_9262 remove-double-div_binary64_9261 pow-sqr_binary64_9258 sqr-pow_binary64_9257 difference-of-sqr--1_binary64_9256 difference-of-sqr-1_binary64_9255 difference-of-squares_binary64_9254 unswap-sqr_binary64_9253 swap-sqr_binary64_9252 cancel-sign-sub-inv_binary64_9251 cancel-sign-sub_binary64_9250 distribute-neg-frac_binary64_9249 distribute-frac-neg_binary64_9248 distribute-neg-out_binary64_9247 distribute-neg-in_binary64_9246 distribute-rgt-neg-out_binary64_9245 distribute-lft-neg-out_binary64_9244 distribute-rgt-neg-in_binary64_9243 distribute-lft-neg-in_binary64_9242 distribute-rgt1-in_binary64_9241 distribute-lft1-in_binary64_9240 distribute-rgt-out--_binary64_9239 distribute-rgt-out_binary64_9238 distribute-lft-out--_binary64_9237 distribute-lft-out_binary64_9236 distribute-rgt-in_binary64_9235 distribute-lft-in_binary64_9234 count-2_binary64_9233 associate-/l/_binary64_9232 associate-/r/_binary64_9231 associate-/l*_binary64_9230 associate-/r*_binary64_9229 associate-*l/_binary64_9228 associate-*r/_binary64_9227 associate-*l*_binary64_9226 associate-*r*_binary64_9225 associate--r-_binary64_9224 associate--l-_binary64_9223 associate--l+_binary64_9222 associate--r+_binary64_9221 associate-+l-_binary64_9220 associate-+r-_binary64_9219 associate-+l+_binary64_9218 associate-+r+_binary64_9217 *-commutative_binary64_9216 +-commutative_binary64_9215

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (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 5 to 5 computations (0% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64_9278` `*-commutative_binary64_9216` `+-commutative_binary64_9215`
1×	`neg-mul-1_binary64_9281` `neg-sub0_binary64_9280`
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_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `unpow1_binary64_9343` `e-exp-1_binary64_9330` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `exp-0_binary64_9327` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `unsub-neg_binary64_9279` `mul-1-neg_binary64_9277` `/-rgt-identity_binary64_9276` `-rgt-identity_binary64_9275` `-lft-identity_binary64_9274` `remove-double-neg_binary64_9273` `sub0-neg_binary64_9272` `--rgt-identity_binary64_9271` `+-rgt-identity_binary64_9270` `+-lft-identity_binary64_9269` `cancel-sign-sub-inv_binary64_9251` `cancel-sign-sub_binary64_9250` `distribute-neg-frac_binary64_9249` `distribute-frac-neg_binary64_9248` `distribute-neg-out_binary64_9247` `distribute-neg-in_binary64_9246` `distribute-rgt-neg-out_binary64_9245` `distribute-lft-neg-out_binary64_9244` `distribute-rgt-neg-in_binary64_9243` `distribute-lft-neg-in_binary64_9242`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	14	7
3	16	7
4	17	7

Proof

(- f64 (* f64 h0 116) 16)

end0.0ms (0%)

sample352.0ms (26.6%)

Algorithm

1×

intervals

Results

129.0ms	7944×	body	128	valid
1.0ms	26×	body	1024	valid
1.0ms	21×	body	512	valid
0.0ms	9×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 16 to 17 computations (-6.3% saved)

Details

analyze4.0ms (0.3%)

sample12.0ms (0.9%)

simplify936.0ms (70.7%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.7%)

prune2.0ms (0.1%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample352.0ms (26.6%)

Profiling