Details

analyze1.9s (14.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5523	968
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

Compiler

Compiled 34 to 30 computations (11.8% saved)

sample66.0ms (0.5%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
17.0ms	155×	body	128	nan

Compiler

Compiled 67 to 66 computations (1.5% saved)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5053	44

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

5.0b

Counts

2 → 1

Compiler

Compiled 58 to 50 computations (13.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (sqrt.f64 (+.f64 t a)))
0.4b	(/.f64 2/3 t)
3.0b	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
5.9b	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

rewrite293.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

35×	`add-sqr-sqrt_binary64_10671`
33×	`*-un-lft-identity_binary64_10649`
31×	`add-cube-cbrt_binary64_10684`
30×	`times-frac_binary64_10655` `associate--r+_binary64_10585`
27×	`cancel-sign-sub-inv_binary64_10615`
20×	`frac-sub_binary64_10658`
15×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
13×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
9×	`flip3--_binary64_10653` `flip--_binary64_10624`
8×	`associate-*r/_binary64_10591` `frac-times_binary64_10659`
7×	`associate-r_binary64_10589`
6×	`pow1_binary64_10710` `add-log-exp_binary64_10688` `associate-/r*_binary64_10593`
5×	`flip3-+_binary64_10652` `flip-+_binary64_10623` `sqrt-prod_binary64_10665`
4×	`div-inv_binary64_10646` `sqrt-div_binary64_10666` `associate-/l*_binary64_10594`
3×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `sub-neg_binary64_10642` `associate-l_binary64_10590`
2×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `associate-/l/_binary64_10596` `associate-*l/_binary64_10592` `associate--l+_binary64_10586` `unswap-sqr_binary64_10617`
1×	`diff-log_binary64_10741` `pow-prod-down_binary64_10720` `distribute-lft-out_binary64_10600` `*-commutative_binary64_10580`

Counts

4 → 131

Calls

4 calls:

18.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
8.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
8.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
3.0ms	(/.f64 2/3 t)

Compiler

Compiled 5521 to 2678 computations (51.5% saved)

series1.0s (8%)

Error

Counts

4 → 50

Calls

4 calls:

694.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
126.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
98.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
19.0ms	(/.f64 2/3 t)

Compiler

Compiled 4681 to 3406 computations (27.2% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5521	4445

prune295.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	4	182

Error

Counts

182 → 4

Compiler

Compiled 6819 to 3405 computations (50.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 2/3 (/.f64 c t))
0.5b	(+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6)))
0.7b	(+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6)))
3.6b	(-.f64 (+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6))) (+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6))))

rewrite313.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`associate-*r/_binary64_10591`
24×	`frac-add_binary64_10657`
22×	`flip3-+_binary64_10652` `flip-+_binary64_10623`
20×	`add-log-exp_binary64_10688` `add-sqr-sqrt_binary64_10671`
16×	`frac-sub_binary64_10658`
15×	`*-un-lft-identity_binary64_10649`
13×	`add-cube-cbrt_binary64_10684` `associate-r_binary64_10589`
10×	`times-frac_binary64_10655`
9×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
6×	`sum-log_binary64_10740` `pow1_binary64_10710`
4×	`diff-log_binary64_10741` `associate-+r+_binary64_10581`
3×	`cancel-sign-sub-inv_binary64_10615` `associate-l_binary64_10590`
2×	`sub-div_binary64_10656` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `+-commutative_binary64_10579` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617`
1×	`flip3--_binary64_10653` `sub-neg_binary64_10642` `flip--_binary64_10624` `difference-of-squares_binary64_10618` `distribute-lft-out--_binary64_10601` `associate--l+_binary64_10586` `associate--r+_binary64_10585` `pow-prod-down_binary64_10720` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `div-inv_binary64_10646` `*-commutative_binary64_10580`

Counts

4 → 101

Calls

4 calls:

17.0ms	(-.f64 (+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6))) (+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6))))
10.0ms	(*.f64 2/3 (/.f64 c t))
8.0ms	(+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6)))
8.0ms	(+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6)))

Compiler

Compiled 5650 to 3479 computations (38.4% saved)

series1.3s (10%)

Error

Counts

4 → 78

Calls

4 calls:

542.0ms	(-.f64 (+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6))) (+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6))))
283.0ms	(+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6)))
282.0ms	(+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6)))
68.0ms	(*.f64 2/3 (/.f64 c t))

Compiler

Compiled 6096 to 4613 computations (24.3% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4987	5407
1	4987	5407

prune345.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	179	4	183

Error

Counts

183 → 4

Compiler

Compiled 7291 to 4321 computations (40.7% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 y (pow.f64 (exp.f64 2) (.f64 (-.f64 c b) (+.f64 a 5/6))))
0.0b	(+.f64 a 5/6)
0.1b	(*.f64 (-.f64 c b) (+.f64 a 5/6))

rewrite110.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_10671`
16×	`*-un-lft-identity_binary64_10649`
14×	`associate-r_binary64_10589`
9×	`add-exp-log_binary64_10687`
8×	`add-cube-cbrt_binary64_10684` `associate-l_binary64_10590`
7×	`add-cbrt-cube_binary64_10685`
6×	`unpow-prod-down_binary64_10728`
5×	`pow1_binary64_10710` `add-log-exp_binary64_10688` `unswap-sqr_binary64_10617`
4×	`prod-exp_binary64_10698` `flip3-+_binary64_10652` `frac-times_binary64_10659` `flip-+_binary64_10623`
3×	`flip3--_binary64_10653` `flip--_binary64_10624`
2×	`cbrt-unprod_binary64_10682` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `associate-l/_binary64_10592` `associate-r/_binary64_10591` `distribute-lft-out_binary64_10600` `*-commutative_binary64_10580` `exp-lft-sqr_binary64_10704` `sqr-pow_binary64_10621` `unpow-prod-up_binary64_10727`
1×	`pow-prod-down_binary64_10720` `difference-of-squares_binary64_10618` `distribute-lft-out--_binary64_10601` `sum-log_binary64_10740` `+-commutative_binary64_10579` `pow-to-exp_binary64_10718` `pow-exp_binary64_10717`

Counts

3 → 72

Calls

3 calls:

10.0ms	(*.f64 (-.f64 c b) (+.f64 a 5/6))
8.0ms	(.f64 y (pow.f64 (exp.f64 2) (.f64 (-.f64 c b) (+.f64 a 5/6))))
5.0ms	(+.f64 a 5/6)

Compiler

Compiled 1819 to 1078 computations (40.7% saved)

series775.0ms (6.1%)

Error

Counts

3 → 42

Calls

3 calls:

540.0ms	(.f64 y (pow.f64 (exp.f64 2) (.f64 (-.f64 c b) (+.f64 a 5/6))))
146.0ms	(*.f64 (-.f64 c b) (+.f64 a 5/6))
23.0ms	(+.f64 a 5/6)

Compiler

Compiled 3582 to 3006 computations (16.1% saved)

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4949	2160
1	4949	2160

prune128.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	114	4	118

Error

Counts

118 → 4

Compiler

Compiled 2638 to 1567 computations (40.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 t a))
0.0b	(.f64 y (pow.f64 (exp.f64 2) (.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a)))))
0.0b	(pow.f64 (exp.f64 2) (*.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a))))
3.4b	(*.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a)))

rewrite142.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-sqr-sqrt_binary64_10671`
26×	`*-un-lft-identity_binary64_10649`
19×	`add-cube-cbrt_binary64_10684`
16×	`associate-l_binary64_10590`
15×	`associate-r_binary64_10589`
13×	`add-exp-log_binary64_10687`
11×	`add-cbrt-cube_binary64_10685` `times-frac_binary64_10655`
10×	`sqrt-prod_binary64_10665` `unpow-prod-down_binary64_10728`
8×	`pow1_binary64_10710` `unswap-sqr_binary64_10617`
6×	`sqrt-div_binary64_10666`
5×	`prod-exp_binary64_10698`
4×	`add-log-exp_binary64_10688` `pow-pow_binary64_10721`
3×	`cbrt-unprod_binary64_10682` `flip3-+_binary64_10652` `flip-+_binary64_10623` `exp-lft-sqr_binary64_10704` `exp-prod_binary64_10701` `sqr-pow_binary64_10621`
2×	`frac-times_binary64_10659` `associate-r/_binary64_10591` `distribute-lft-out_binary64_10600` `-commutative_binary64_10580` `pow-to-exp_binary64_10718` `pow-exp_binary64_10717`
1×	`pow-prod-down_binary64_10720` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `associate-*l/_binary64_10592` `div-inv_binary64_10646` `pow-unpow_binary64_10726` `pow1/2_binary64_10729` `sqrt-pow1_binary64_10667` `rem-sqrt-square_binary64_10662`

Counts

4 → 104

Calls

4 calls:

14.0ms	(*.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a)))
6.0ms	(.f64 y (pow.f64 (exp.f64 2) (.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a)))))
4.0ms	(pow.f64 (exp.f64 2) (*.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a))))
3.0ms	(sqrt.f64 (+.f64 t a))

Compiler

Compiled 2704 to 1065 computations (60.6% saved)

series836.0ms (6.6%)

Error

Counts

4 → 56

Calls

4 calls:

404.0ms	(.f64 y (pow.f64 (exp.f64 2) (.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a)))))
165.0ms	(pow.f64 (exp.f64 2) (*.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a))))
150.0ms	(*.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a)))
50.0ms	(sqrt.f64 (+.f64 t a))

Compiler

Compiled 3782 to 3122 computations (17.5% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5323	3189

prune153.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	160	4	164

Error

Counts

164 → 4

Compiler

Compiled 3756 to 1669 computations (55.6% saved)

regimes1.4s (10.7%)

Accuracy

Total 1.2b remaining (99.2%)

Threshold costs 0b (0%)

Compiler

Compiled 17929 to 15632 computations (12.8% saved)

bsearch144.0ms (1.1%)

Steps

Iters	Range		Point
7	4.694559638761997e-277	5.689382248972379e-275	6.282642470488509e-277
8	-3.2179195186281132e-49	-7.045906078308892e-52	-9.229213586150983e-51

Compiler

Compiled 1 to 7 computations (-600% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	301	126
1	301	126

end0.0ms (0%)

sample3.1s (24.5%)

Algorithm

1×

intervals

Results

755.0ms	8000×	body	128	valid
472.0ms	4936×	body	128	nan

Compiler

Compiled 1573 to 1333 computations (15.3% saved)

Details

analyze1.9s (14.7%)

sample66.0ms (0.5%)

simplify50.0ms (0.4%)

prune5.0ms (0%)

localize27.0ms (0.2%)

rewrite293.0ms (2.3%)

series1.0s (8%)

simplify77.0ms (0.6%)

prune295.0ms (2.3%)

localize21.0ms (0.2%)

rewrite313.0ms (2.5%)

series1.3s (10%)

simplify90.0ms (0.7%)

prune345.0ms (2.7%)

localize12.0ms (0.1%)

rewrite110.0ms (0.9%)

series775.0ms (6.1%)

simplify91.0ms (0.7%)

prune128.0ms (1%)

localize13.0ms (0.1%)

rewrite142.0ms (1.1%)

series836.0ms (6.6%)

simplify59.0ms (0.5%)

prune153.0ms (1.2%)

regimes1.4s (10.7%)

bsearch144.0ms (1.1%)

simplify12.0ms (0.1%)

end0.0ms (0%)

sample3.1s (24.5%)

Profiling