Details

analyze222.0ms (7.1%)

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
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
14%	56.2%	29.8%	8
14%	36.7%	49.3%	9
14.8%	30.4%	54.8%	10
15.5%	28.3%	56.2%	11
16.4%	18.3%	65.2%	12
17.2%	15.2%	67.6%	13
17.7%	14.2%	68.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample31.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
4.0ms	109×	body	128	nan
3.0ms	64×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify166.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5007	12

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

2 → 2

Compiler

Compiled 25 to 22 computations (12% saved)

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 y (log.f64 y))
0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
0.0b	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
0.0b	(+.f64 x (*.f64 y (log.f64 y)))
0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
0.0b	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
0.0b	(+.f64 x (*.f64 y (log.f64 y)))
0.2b	(*.f64 y (log.f64 y))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_10671`
17×	`add-log-exp_binary64_10688` `*-un-lft-identity_binary64_10649`
13×	`add-cube-cbrt_binary64_10684`
12×	`log-prod_binary64_10735`
7×	`pow1_binary64_10710`
6×	`cancel-sign-sub-inv_binary64_10615` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `associate-+r+_binary64_10581`
5×	`exp-prod_binary64_10701` `exp-sum_binary64_10695`
4×	`associate-r_binary64_10589` `diff-log_binary64_10741`
3×	`rem-exp-log_binary64_10689` `sum-log_binary64_10740` `associate-l_binary64_10590`
2×	`difference-of-squares_binary64_10618` `sub-neg_binary64_10642` `associate--l+_binary64_10586` `distribute-lft-out--_binary64_10601`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `exp-diff_binary64_10697` `log-pow_binary64_10738` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `+-commutative_binary64_10579` `*-commutative_binary64_10580` `flip-+_binary64_10623` `flip3--_binary64_10653` `flip--_binary64_10624` `flip3-+_binary64_10652`

Counts

4 → 81

Calls

8 calls:

7.0ms	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
6.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
5.0ms	(*.f64 y (log.f64 y))
4.0ms	(+.f64 x (*.f64 y (log.f64 y)))
0.0ms	(+.f64 x (*.f64 y (log.f64 y)))

series527.0ms (16.8%)

Counts

4 → 48

Calls

4 calls:

224.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
122.0ms	(+.f64 x (*.f64 y (log.f64 y)))
104.0ms	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
77.0ms	(*.f64 y (log.f64 y))

Compiler

Compiled 843 to 678 computations (19.6% saved)

simplify85.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5050	1562

prune86.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	129	2	131

Error

Counts

131 → 2

Compiler

Compiled 1580 to 379 computations (76% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
1.0b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_10671`
7×	`associate-r_binary64_10589` `associate-l_binary64_10590`
5×	`*-un-lft-identity_binary64_10649` `add-cube-cbrt_binary64_10684`
4×	`unpow-prod-down_binary64_10728` `exp-sum_binary64_10695`
3×	`prod-exp_binary64_10698` `unswap-sqr_binary64_10617` `cancel-sign-sub-inv_binary64_10615` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
2×	`sqr-pow_binary64_10621`
1×	`cbrt-unprod_binary64_10682` `exp-diff_binary64_10697` `add-log-exp_binary64_10688` `pow1_binary64_10710` `sub-neg_binary64_10642` `-commutative_binary64_10580` `pow-exp_binary64_10717` `pow-to-exp_binary64_10718` `associate-r/_binary64_10591`

Counts

1 → 30

Calls

2 calls:

11.0ms	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.0ms	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

series217.0ms (6.9%)

Counts

1 → 17

Calls

1 calls:

217.0ms

(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

Compiler

Compiled 444 to 295 computations (33.6% saved)

simplify67.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4979	765
1	4979	765

prune26.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Error

Counts

49 → 2

Compiler

Compiled 628 to 166 computations (73.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	68
1	37	68

regimes69.0ms (2.2%)

Compiler: Compiled 202 to 268 computations (-32.7% saved)

bsearch0.0ms (0%)

regimes63.0ms (2%)

Compiler: Compiled 166 to 236 computations (-42.2% saved)

bsearch0.0ms (0%)

regimes61.0ms (2%)

Compiler: Compiled 30 to 81 computations (-170% saved)

bsearch44.0ms (1.4%)

Steps

Iters	Range		Point
6	2.1019486879143525e-05	0.0001949302985924042	2.1403261626271705e-05

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes75.0ms (2.4%)

Compiler: Compiled 21 to 66 computations (-214.3% saved)

bsearch71.0ms (2.3%)

Steps

Iters	Range		Point
10	0.0001949302985924042	4206782.595584062	352.84262481624853

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes86.0ms (2.7%)

Accuracy

Total 0.0b remaining (94%)

Threshold costs 0.0b (94%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch85.0ms (2.7%)

Steps

Iters	Range		Point
7	3.2207707463893175e-69	7.977927344436226e-67	7.793510965676542e-67
0	9.055087113423717e-127	9.232872734836952e-127	9.143979924130335e-127
6	3.956346195725636e-168	2.0265986121258167e-167	1.995746950486534e-167
7	-7.85784928809914e-44	-6.318474041658964e-46	-7.736133318897376e-44

Compiler

Compiled 52 to 57 computations (-9.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	74
1	66	74

end0.0ms (0%)

sample1.1s (34.8%)

Algorithm

1×

intervals

Results

378.0ms	8000×	body	128	valid
84.0ms	2431×	body	128	nan
84.0ms	1795×	body	128	invalid

Compiler

Compiled 117 to 134 computations (-14.5% saved)

Pareto

0.704998335665276

Details

analyze222.0ms (7.1%)

sample31.0ms (1%)

simplify166.0ms (5.3%)

prune4.0ms (0.1%)

localize8.0ms (0.3%)

rewrite27.0ms (0.9%)

series527.0ms (16.8%)

simplify85.0ms (2.7%)

prune86.0ms (2.7%)

localize6.0ms (0.2%)

rewrite13.0ms (0.4%)

series217.0ms (6.9%)

simplify67.0ms (2.1%)

prune26.0ms (0.8%)

simplify3.0ms (0.1%)

regimes69.0ms (2.2%)

bsearch0.0ms (0%)

regimes63.0ms (2%)

bsearch0.0ms (0%)

regimes61.0ms (2%)

bsearch44.0ms (1.4%)

regimes75.0ms (2.4%)

bsearch71.0ms (2.3%)

regimes86.0ms (2.7%)

bsearch85.0ms (2.7%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (34.8%)

Profiling