Details

analyze3.0s (11.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	616
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
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample110.0ms (0.4%)

Algorithm

1×

intervals

Results

33.0ms	256×	body	128	valid
15.0ms	148×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify113.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune10.0ms (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

6.9b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
0.2b	(.f64 (.f64 x 9) y)
2.0b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.4b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite89.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
18×	`times-frac_binary64_19862`
13×	`add-cbrt-cube_binary64_19892` `add-exp-log_binary64_19894`
9×	`pow1_binary64_19917`
6×	`associate-/r_binary64_19800` `add-log-exp_binary64_19895` `associate-/l_binary64_19801`
4×	`associate-/l/_binary64_19803`
3×	`flip-+_binary64_19830` `prod-exp_binary64_19905` `flip3-+_binary64_19859` `associate-r_binary64_19796` `pow-prod-down_binary64_19927` `cbrt-unprod_binary64_19889`
2×	`cbrt-undiv_binary64_19890` `div-exp_binary64_19907` `clear-num_binary64_19855` `div-inv_binary64_19853` `frac-2neg_binary64_19867`
1×	`-commutative_binary64_19787` `+-commutative_binary64_19786` `sum-log_binary64_19947` `associate-l*_binary64_19797`

Counts

4 → 87

Calls

4 calls:

32.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
19.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
15.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.0ms	(.f64 (.f64 x 9) y)

series3.0s (10.9%)

Counts

4 → 102

Calls

4 calls:

1.5s	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
990.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
405.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
100.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2721 to 2636 computations (3.1% saved)

simplify173.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5036	3851

prune403.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	177	12	189
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	178	13	191

Error

6.6b

Counts

191 → 13

Compiler

Compiled 4043 to 2232 computations (44.8% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b)))
2.0b	(/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))
9.4b	(/.f64 (+.f64 (/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))) (.f64 (.f64 t a) -4)) c)

rewrite117.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`times-frac_binary64_19862`
65×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
24×	`add-exp-log_binary64_19894`
21×	`associate-/r*_binary64_19800`
18×	`add-cbrt-cube_binary64_19892`
11×	`associate-/r/_binary64_19802`
10×	`pow1_binary64_19917`
9×	`div-exp_binary64_19907` `associate-/l*_binary64_19801`
7×	`div-inv_binary64_19853`
6×	`flip-+_binary64_19830` `flip3-+_binary64_19859`
5×	`cbrt-undiv_binary64_19890`
4×	`add-log-exp_binary64_19895`
3×	`prod-exp_binary64_19905` `associate-r_binary64_19796` `clear-num_binary64_19855` `pow-prod-down_binary64_19927` `frac-2neg_binary64_19867` `cbrt-unprod_binary64_19889`
2×	`rec-exp_binary64_19906` `associate-/l/_binary64_19803` `1-exp_binary64_19900`
1×	`inv-pow_binary64_19941` `-commutative_binary64_19787` `pow-flip_binary64_19930` `associate-l*_binary64_19797`

Counts

4 → 160

Calls

4 calls:

39.0ms	(/.f64 (+.f64 (/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))) (.f64 (.f64 t a) -4)) c)
21.0ms	(/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b)))
12.0ms	(/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))
10.0ms	(.f64 (.f64 x 9) y)

series2.6s (9.4%)

Counts

4 → 88

Calls

4 calls:

1.6s	(/.f64 (+.f64 (/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))) (.f64 (.f64 t a) -4)) c)
441.0ms	(/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b)))
417.0ms	(/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))
114.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2955 to 2753 computations (6.8% saved)

simplify193.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4963	5854
1	4963	5854

prune561.0ms (2.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	248	13	261

Error

6.6b

Counts

261 → 13

Compiler

Compiled 6502 to 3612 computations (44.4% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
0.2b	(.f64 (.f64 x 9) y)
2.0b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.4b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))

rewrite106.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_19878`
22×	`*-un-lft-identity_binary64_19856`
21×	`add-cube-cbrt_binary64_19891`
20×	`add-exp-log_binary64_19894` `times-frac_binary64_19862`
16×	`add-cbrt-cube_binary64_19892` `associate-r_binary64_19796`
11×	`pow1_binary64_19917`
7×	`prod-exp_binary64_19905`
6×	`add-log-exp_binary64_19895`
5×	`cbrt-unprod_binary64_19889`
4×	`flip-+_binary64_19830` `flip3-+_binary64_19859` `pow-prod-down_binary64_19927` `associate-l_binary64_19797`
3×	`associate-/r_binary64_19800` `unswap-sqr_binary64_19824` `div-exp_binary64_19907` `associate-/l_binary64_19801`
2×	`cbrt-undiv_binary64_19890` `frac-times_binary64_19866` `-commutative_binary64_19787` `associate-l/_binary64_19799` `associate-/l/_binary64_19803` `div-inv_binary64_19853`
1×	`rec-exp_binary64_19906` `associate-*r/_binary64_19798` `clear-num_binary64_19855` `un-div-inv_binary64_19854` `+-commutative_binary64_19786` `frac-2neg_binary64_19867` `sum-log_binary64_19947` `1-exp_binary64_19900`

Counts

4 → 98

Calls

4 calls:

39.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
22.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
16.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.0ms	(.f64 (.f64 x 9) y)

series3.0s (10.9%)

Counts

4 → 102

Calls

4 calls:

1.5s	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
983.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
393.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
86.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2919 to 2834 computations (2.9% saved)

simplify189.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4980	4236
1	4980	4236

prune390.0ms (1.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	199	14	213

Error

6.6b

Counts

213 → 14

Compiler

Compiled 4632 to 2555 computations (44.8% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.3b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))))
2.0b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.4b	(/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)))

rewrite102.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`times-frac_binary64_19862`
65×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
24×	`add-exp-log_binary64_19894`
21×	`associate-/r*_binary64_19800`
18×	`add-cbrt-cube_binary64_19892`
11×	`associate-/r/_binary64_19802`
10×	`pow1_binary64_19917`
9×	`div-exp_binary64_19907` `associate-/l*_binary64_19801`
7×	`div-inv_binary64_19853`
6×	`flip-+_binary64_19830` `flip3-+_binary64_19859`
5×	`cbrt-undiv_binary64_19890`
4×	`add-log-exp_binary64_19895`
3×	`prod-exp_binary64_19905` `associate-r_binary64_19796` `clear-num_binary64_19855` `pow-prod-down_binary64_19927` `frac-2neg_binary64_19867` `cbrt-unprod_binary64_19889`
2×	`rec-exp_binary64_19906` `associate-/l/_binary64_19803` `1-exp_binary64_19900`
1×	`inv-pow_binary64_19941` `-commutative_binary64_19787` `pow-flip_binary64_19930` `associate-l*_binary64_19797`

Counts

4 → 160

Calls

4 calls:

25.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))))
21.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)))
15.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.0ms	(.f64 (.f64 x 9) y)

series3.5s (12.7%)

Counts

4 → 105

Calls

4 calls:

1.5s	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))))
1.4s	(/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)))
418.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
109.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4847 to 4169 computations (14% saved)

simplify203.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5089	8859

prune635.0ms (2.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	260	5	265
Fresh	3	8	11
Picked	1	0	1
Done	0	2	2
Total	264	15	279

Error

6.6b

Counts

279 → 15

Compiler

Compiled 7713 to 4060 computations (47.4% saved)

regimes2.6s (9.6%)

Accuracy

Total 2.7b remaining (30.3%)

Threshold costs 0b (0%)

Compiler

Compiled 15262 to 14036 computations (8% saved)

bsearch7.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	130	268
1	130	268

Compiler

Compiled 720 to 444 computations (38.3% saved)

end0.0ms (0%)

sample6.0s (22.2%)

Algorithm

1×

intervals

Results

961.0ms	8000×	body	128	valid
556.0ms	4821×	body	128	invalid

Compiler

Compiled 1731 to 1456 computations (15.9% saved)

Details

analyze3.0s (11.1%)

sample110.0ms (0.4%)

simplify113.0ms (0.4%)

prune10.0ms (0%)

localize25.0ms (0.1%)

rewrite89.0ms (0.3%)

series3.0s (10.9%)

simplify173.0ms (0.6%)

prune403.0ms (1.5%)

localize27.0ms (0.1%)

rewrite117.0ms (0.4%)

series2.6s (9.4%)

simplify193.0ms (0.7%)

prune561.0ms (2.1%)

localize30.0ms (0.1%)

rewrite106.0ms (0.4%)

series3.0s (10.9%)

simplify189.0ms (0.7%)

prune390.0ms (1.4%)

localize32.0ms (0.1%)

rewrite102.0ms (0.4%)

series3.5s (12.7%)

simplify203.0ms (0.7%)

prune635.0ms (2.3%)

regimes2.6s (9.6%)

bsearch7.0ms (0%)

simplify101.0ms (0.4%)

end0.0ms (0%)

sample6.0s (22.2%)

Profiling