Details

analyze1.8s (18.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	112
1	4937	112
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14
41.7%	57.7%	0.6%	14

Compiler

Compiled 32 to 28 computations (12.5% saved)

sample984.0ms (10.1%)

Algorithm

2×

intervals

Results

23.0ms	512×	body	128	valid
11.0ms	207×	body	128	invalid

Compiler

Compiled 5711 to 6421 computations (-12.4% saved)

simplify358.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (352.0ms)

Iter	Nodes	Cost
0	4800	16
1	4800	16

prune5.0ms (0%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.3b	(/.f64 y (*.f64 z 3))
0.5b	(.f64 (.f64 z 3) y)
5.5b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite135.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
13×	`add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
11×	`add-cube-cbrt_binary64_19891`
9×	`pow1_binary64_19917` `times-frac_binary64_19862`
7×	`prod-exp_binary64_19905` `cbrt-unprod_binary64_19889` `cancel-sign-sub-inv_binary64_19822`
6×	`add-log-exp_binary64_19895` `associate-/l*_binary64_19801`
5×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890`
3×	`div-inv_binary64_19853` `pow-prod-down_binary64_19927` `associate-r_binary64_19796`
2×	`frac-2neg_binary64_19867` `clear-num_binary64_19855` `associate-/r*_binary64_19800`
1×	`associate-l_binary64_19797` `*-commutative_binary64_19787` `diff-log_binary64_19948` `flip3--_binary64_19860` `sub-neg_binary64_19849` `flip--_binary64_19831` `difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808`

Counts

4 → 82

Calls

4 calls:

6.0ms	(/.f64 t (.f64 (.f64 z 3) y))
6.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
5.0ms	(.f64 (.f64 z 3) y)
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1745 to 1069 computations (38.7% saved)

series603.0ms (6.2%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

201.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
195.0ms	(/.f64 t (.f64 (.f64 z 3) y))
91.0ms	(/.f64 y (*.f64 z 3))
80.0ms	(.f64 (.f64 z 3) y)

Compiler

Compiled 1544 to 1164 computations (24.6% saved)

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5366	1209

prune145.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	9	121
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Error

0.0b

Counts

123 → 10

Compiler

Compiled 2238 to 1299 computations (42% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.3b	(/.f64 y (*.f64 z 3))
0.5b	(/.f64 t (*.f64 z 3))
3.2b	(/.f64 (/.f64 t (*.f64 z 3)) y)

rewrite169.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_19862`
28×	`add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
26×	`add-cube-cbrt_binary64_19891`
23×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
13×	`associate-/l*_binary64_19801`
9×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890`
8×	`div-inv_binary64_19853`
7×	`cancel-sign-sub-inv_binary64_19822`
6×	`add-log-exp_binary64_19895`
5×	`associate-/r*_binary64_19800`
4×	`pow1_binary64_19917`
3×	`prod-exp_binary64_19905` `cbrt-unprod_binary64_19889` `frac-2neg_binary64_19867` `clear-num_binary64_19855`
1×	`associate-/l/_binary64_19803` `diff-log_binary64_19948` `flip3--_binary64_19860` `sub-neg_binary64_19849` `flip--_binary64_19831` `difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808`

Counts

4 → 110

Calls

4 calls:

9.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
6.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
4.0ms	(/.f64 t (*.f64 z 3))
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 2418 to 1442 computations (40.4% saved)

series585.0ms (6%)

Error

Counts

4 → 39

Calls

4 calls:

191.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
187.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
91.0ms	(/.f64 y (*.f64 z 3))
80.0ms	(/.f64 t (*.f64 z 3))

Compiler

Compiled 1544 to 1165 computations (24.5% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4960	1780
1	4960	1780

prune164.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	150	9	159

Error

Counts

159 → 9

Compiler

Compiled 2888 to 1622 computations (43.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.3b	(*.f64 1/3 (/.f64 t z))
0.3b	(/.f64 y (*.f64 z 3))
3.2b	(/.f64 (*.f64 1/3 (/.f64 t z)) y)

rewrite143.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-sqr-sqrt_binary64_19878`
23×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
20×	`*-un-lft-identity_binary64_19856`
19×	`times-frac_binary64_19862`
18×	`add-cube-cbrt_binary64_19891`
13×	`associate-r_binary64_19796`
7×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890` `cancel-sign-sub-inv_binary64_19822`
6×	`pow1_binary64_19917` `add-log-exp_binary64_19895`
5×	`prod-exp_binary64_19905` `cbrt-unprod_binary64_19889`
4×	`div-inv_binary64_19853` `associate-/l_binary64_19801` `associate-/r_binary64_19800`
3×	`associate-l_binary64_19797`
2×	`frac-2neg_binary64_19867` `clear-num_binary64_19855` `associate-*r/_binary64_19798` `unswap-sqr_binary64_19824`
1×	`associate-/l/_binary64_19803` `pow-prod-down_binary64_19927` `*-commutative_binary64_19787` `diff-log_binary64_19948` `flip3--_binary64_19860` `sub-neg_binary64_19849` `flip--_binary64_19831` `difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808`

Counts

4 → 97

Calls

4 calls:

7.0ms	(*.f64 1/3 (/.f64 t z))
6.0ms	(/.f64 (*.f64 1/3 (/.f64 t z)) y)
6.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 2089 to 1159 computations (44.5% saved)

series591.0ms (6.1%)

Error

Counts

4 → 39

Calls

4 calls:

197.0ms	(/.f64 (*.f64 1/3 (/.f64 t z)) y)
191.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
92.0ms	(/.f64 y (*.f64 z 3))
78.0ms	(*.f64 1/3 (/.f64 t z))

Compiler

Compiled 1544 to 1141 computations (26.1% saved)

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4964	1381
1	4964	1381

prune142.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	137	8	145

Error

Counts

145 → 8

Compiler

Compiled 2540 to 1362 computations (46.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3)))
0.3b	(*.f64 (/.f64 1 z) (/.f64 y 3))
0.5b	(.f64 (.f64 z 3) y)
5.5b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite176.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-exp-log_binary64_19894`
38×	`add-sqr-sqrt_binary64_19878`
30×	`add-cbrt-cube_binary64_19892`
28×	`times-frac_binary64_19862`
23×	`*-un-lft-identity_binary64_19856`
21×	`add-cube-cbrt_binary64_19891`
16×	`associate-r_binary64_19796`
14×	`prod-exp_binary64_19905` `associate-l_binary64_19797`
11×	`pow1_binary64_19917` `div-exp_binary64_19907`
10×	`cbrt-unprod_binary64_19889`
7×	`cbrt-undiv_binary64_19890`
6×	`add-log-exp_binary64_19895` `unswap-sqr_binary64_19824`
4×	`pow-prod-down_binary64_19927`
3×	`div-inv_binary64_19853` `associate-/l*_binary64_19801`
2×	`*-commutative_binary64_19787` `1-exp_binary64_19900` `rec-exp_binary64_19906`
1×	`frac-2neg_binary64_19867` `clear-num_binary64_19855` `associate-/r_binary64_19800` `frac-times_binary64_19866` `associate-l/_binary64_19799` `associate-*r/_binary64_19798` `diff-log_binary64_19948` `flip3--_binary64_19860` `sub-neg_binary64_19849` `flip--_binary64_19831` `cancel-sign-sub-inv_binary64_19822`

Counts

4 → 109

Calls

4 calls:

11.0ms	(*.f64 (/.f64 1 z) (/.f64 y 3))
6.0ms	(/.f64 t (.f64 (.f64 z 3) y))
5.0ms	(.f64 (.f64 z 3) y)
3.0ms	(-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3)))

Compiler

Compiled 2651 to 1752 computations (33.9% saved)

series597.0ms (6.2%)

Error

Counts

4 → 39

Calls

4 calls:

209.0ms	(/.f64 t (.f64 (.f64 z 3) y))
200.0ms	(-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3)))
82.0ms	(*.f64 (/.f64 1 z) (/.f64 y 3))
76.0ms	(.f64 (.f64 z 3) y)

Compiler

Compiled 1634 to 1254 computations (23.3% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4955	1566
1	4955	1566

prune163.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	148	8	156

Error

Counts

156 → 8

Compiler

Compiled 2858 to 1721 computations (39.8% saved)

regimes731.0ms (7.5%)

Accuracy

Total 0.9b remaining (99.6%)

Threshold costs 0.9b (99.6%)

Compiler

Compiled 5899 to 4978 computations (15.6% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 6 computations (-100% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	78
1	86	78

end0.0ms (0%)

sample1.9s (20.1%)

Algorithm

1×

intervals

Results

580.0ms	8000×	body	128	valid
145.0ms	3154×	body	128	invalid

Compiler

Compiled 1002 to 838 computations (16.4% saved)

Details

analyze1.8s (18.1%)

sample984.0ms (10.1%)

simplify358.0ms (3.7%)

prune5.0ms (0%)

localize10.0ms (0.1%)

rewrite135.0ms (1.4%)

series603.0ms (6.2%)

simplify65.0ms (0.7%)

prune145.0ms (1.5%)

localize9.0ms (0.1%)

rewrite169.0ms (1.7%)

series585.0ms (6%)

simplify59.0ms (0.6%)

prune164.0ms (1.7%)

localize14.0ms (0.1%)

rewrite143.0ms (1.5%)

series591.0ms (6.1%)

simplify60.0ms (0.6%)

prune142.0ms (1.5%)

localize15.0ms (0.2%)

rewrite176.0ms (1.8%)

series597.0ms (6.2%)

simplify73.0ms (0.8%)

prune163.0ms (1.7%)

regimes731.0ms (7.5%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (20.1%)

Profiling