Details

analyze689.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample38.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	177×	body	128	valid
7.0ms	27×	body	2048	valid
4.0ms	22×	body	1024	valid
2.0ms	8×	body	4096	valid
2.0ms	13×	body	512	valid
1.0ms	9×	body	256	valid
1.0ms	16×	body	128	nan
0.0ms	9×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify279.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (273.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune7.0ms (0.1%)

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

31.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
2.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
21.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite154.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

31.5b

Rules

22×	`add-sqr-sqrt_binary64_2487`
15×	`*-un-lft-identity_binary64_2465`
14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`pow1_binary64_2526`
9×	`add-cube-cbrt_binary64_2500`
6×	`add-log-exp_binary64_2504` `sqrt-prod_binary64_2481` `difference-of-squares_binary64_2434` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
4×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431` `distribute-lft-out--_binary64_2417` `pow-prod-down_binary64_2536` `associate-r_binary64_2405`
2×	`sqrt-div_binary64_2482` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l/_binary64_2412`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `diff-log_binary64_2557` `sub-neg_binary64_2458` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r_binary64_2409` `associate-l_binary64_2406` `-commutative_binary64_2396`

Counts

4 → 80

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 2167 to 1267 computations (41.5% saved)

series654.0ms (5.7%)

Error

4.8b

Counts

4 → 60

Calls

4 calls:

231.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
162.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
148.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
53.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2988 to 2243 computations (24.9% saved)

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4933	2855
1	4933	2855

prune162.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	129	11	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	12	141

Error

4.6b

Counts

141 → 12

Compiler

Compiled 3089 to 1689 computations (45.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) 3) a)
0.3b	(.f64 3 (.f64 a c))
2.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
21.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite460.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

138×	`times-frac_binary64_2471`
123×	`add-sqr-sqrt_binary64_2487`
96×	`*-un-lft-identity_binary64_2465`
70×	`add-cube-cbrt_binary64_2500`
26×	`difference-of-squares_binary64_2434`
22×	`associate-/l*_binary64_2410`
16×	`sqrt-prod_binary64_2481`
14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
13×	`distribute-lft-out--_binary64_2417`
10×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504`
5×	`div-inv_binary64_2462`
3×	`cancel-sign-sub-inv_binary64_2431` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/r*_binary64_2409`
2×	`flip3--_binary64_2469` `sqrt-div_binary64_2482` `flip--_binary64_2440` `div-sub_binary64_2470`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `diff-log_binary64_2557` `sub-neg_binary64_2458` `associate-r_binary64_2405` `*-commutative_binary64_2396` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `associate-/l/_binary64_2412`

Counts

4 → 157

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) 3) a)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
5.0ms	(.f64 3 (.f64 a c))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 4977 to 2694 computations (45.9% saved)

series635.0ms (5.5%)

Error

4.6b

Counts

4 → 60

Calls

4 calls:

212.0ms	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) 3) a)
159.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
157.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
57.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 2988 to 2243 computations (24.9% saved)

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5166	6657

prune271.0ms (2.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	214	3	217
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	217	12	229

Error

4.6b

Counts

229 → 12

Compiler

Compiled 5782 to 3143 computations (45.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 3 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) a))
0.3b	(.f64 3 (.f64 a c))
2.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
21.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite290.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

138×	`times-frac_binary64_2471`
123×	`add-sqr-sqrt_binary64_2487`
96×	`*-un-lft-identity_binary64_2465`
70×	`add-cube-cbrt_binary64_2500`
26×	`difference-of-squares_binary64_2434`
22×	`associate-/r*_binary64_2409`
16×	`sqrt-prod_binary64_2481`
14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
13×	`distribute-lft-out--_binary64_2417`
10×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504`
5×	`div-inv_binary64_2462`
3×	`cancel-sign-sub-inv_binary64_2431` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l*_binary64_2410`
2×	`flip3--_binary64_2469` `sqrt-div_binary64_2482` `flip--_binary64_2440`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `diff-log_binary64_2557` `sub-neg_binary64_2458` `associate-r_binary64_2405` `*-commutative_binary64_2396` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `associate-/r/_binary64_2411`

Counts

4 → 156

Calls

4 calls:

12.0ms	(/.f64 3 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
6.0ms	(.f64 3 (.f64 a c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 5269 to 2977 computations (43.5% saved)

series736.0ms (6.4%)

Error

4.5b

Counts

4 → 62

Calls

4 calls:

310.0ms	(/.f64 3 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) a))
157.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
53.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 3470 to 2633 computations (24.1% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5293	6687

prune285.0ms (2.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	214	4	218
Fresh	4	6	10
Picked	0	1	1
Done	0	1	1
Total	218	12	230

Error

4.5b

Counts

230 → 12

Compiler

Compiled 6196 to 3517 computations (43.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)))
0.3b	(.f64 3 (.f64 a c))
2.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
21.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite159.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

4.5b

Rules

40×	`add-sqr-sqrt_binary64_2487`
26×	`*-un-lft-identity_binary64_2465`
25×	`associate-r_binary64_2405`
19×	`times-frac_binary64_2471`
18×	`add-cube-cbrt_binary64_2500`
14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
12×	`pow1_binary64_2526`
8×	`difference-of-squares_binary64_2434`
7×	`sqrt-prod_binary64_2481`
6×	`add-log-exp_binary64_2504` `associate-l_binary64_2406`
5×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`distribute-lft-out--_binary64_2417` `pow-prod-down_binary64_2536`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`
2×	`sqrt-div_binary64_2482` `*-commutative_binary64_2396` `unswap-sqr_binary64_2433` `associate-/r/_binary64_2411`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-*r/_binary64_2407` `div-inv_binary64_2462`

Counts

4 → 93

Calls

4 calls:

17.0ms	(.f64 3 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
6.0ms	(.f64 3 (.f64 a c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 2824 to 1566 computations (44.5% saved)

series735.0ms (6.4%)

Error

4.5b

Counts

4 → 62

Calls

4 calls:

312.0ms	(.f64 3 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)))
157.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
151.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
57.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 3470 to 2631 computations (24.2% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5058	3166

prune169.0ms (1.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	155	12	167

Error

4.5b

Counts

167 → 12

Compiler

Compiled 3707 to 2086 computations (43.7% saved)

regimes2.2s (18.8%)

Accuracy

Total 5.1b remaining (47.8%)

Threshold costs 0b (0%)

Compiler

Compiled 12588 to 9885 computations (21.5% saved)

bsearch72.0ms (0.6%)

Steps

Iters	Range		Point
8	4.517014463695807e-33	6.2129990419987226e-30	4.5802278358119234e-33
10	-1.2525316213680224e+146	-5.236157067997957e+133	-1.2144657331906614e+134

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	112	65
1	112	65

end0.0ms (0%)

sample3.2s (27.7%)

Algorithm

1×

intervals

Results

275.0ms	1070×	body	2048	valid
268.0ms	5263×	body	128	valid
147.0ms	729×	body	1024	valid
119.0ms	400×	body	4096	valid
53.0ms	356×	body	512	valid
33.0ms	626×	body	128	nan
22.0ms	379×	body	128	invalid
18.0ms	182×	body	256	valid

Compiler

Compiled 2393 to 1887 computations (21.1% saved)

Details

analyze689.0ms (6%)

sample38.0ms (0.3%)

simplify279.0ms (2.4%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

rewrite154.0ms (1.3%)

series654.0ms (5.7%)

simplify87.0ms (0.8%)

prune162.0ms (1.4%)

localize13.0ms (0.1%)

rewrite460.0ms (4%)

series635.0ms (5.5%)

simplify89.0ms (0.8%)

prune271.0ms (2.4%)

localize13.0ms (0.1%)

rewrite290.0ms (2.5%)

series736.0ms (6.4%)

simplify85.0ms (0.7%)

prune285.0ms (2.5%)

localize12.0ms (0.1%)

rewrite159.0ms (1.4%)

series735.0ms (6.4%)

simplify71.0ms (0.6%)

prune169.0ms (1.5%)

regimes2.2s (18.8%)

bsearch72.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.2s (27.7%)

Profiling