Details

analyze613.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6226	119
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	13×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify284.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (278.0ms)

Iter	Nodes	Cost
0	4974	17
1	4974	17

prune4.0ms (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 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.0b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
0.3b	(*.f64 x (log.f64 y))

rewrite149.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

38×	`associate--l+_binary64_2402`
30×	`*-un-lft-identity_binary64_2465`
27×	`log-prod_binary64_2551`
24×	`add-sqr-sqrt_binary64_2487`
20×	`add-cube-cbrt_binary64_2500`
17×	`add-log-exp_binary64_2504`
15×	`cancel-sign-sub-inv_binary64_2431`
14×	`associate-+l+_binary64_2398`
12×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
9×	`pow1_binary64_2526`
7×	`diff-log_binary64_2557`
6×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`sub-neg_binary64_2458`
4×	`associate-r_binary64_2405` `distribute-lft-out_binary64_2416`
3×	`associate-l_binary64_2406` `log-pow_binary64_2554` `sum-log_binary64_2556` `distribute-lft-out--_binary64_2417` `associate-+r+_binary64_2397`
2×	`flip3--_binary64_2469` `flip--_binary64_2440`
1×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-+l-_binary64_2400` `+-commutative_binary64_2395` `difference-of-squares_binary64_2434` `associate--l-_binary64_2403`

Counts

4 → 108

Calls

4 calls:

17.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
9.0ms	(*.f64 x (log.f64 y))
9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)

Compiler

Compiled 1933 to 472 computations (75.6% saved)

series1.1s (12.3%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

553.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
258.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
161.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
139.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 1434 to 1009 computations (29.6% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5009	1987

prune128.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	155	7	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	155	8	163

Error

0.0b

Counts

163 → 8

Compiler

Compiled 2348 to 470 computations (80% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite187.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`log-prod_binary64_2551`
54×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
36×	`cbrt-prod_binary64_2496`
27×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
24×	`associate-+l+_binary64_2398`
12×	`associate-+r+_binary64_2397`
9×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`add-log-exp_binary64_2504`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406`
2×	`pow1/3_binary64_2547`
1×	`sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `+-commutative_binary64_2395` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

4 → 112

Calls

4 calls:

11.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
7.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3199 to 1263 computations (60.5% saved)

series840.0ms (9%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

323.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
300.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
96.0ms	(cbrt.f64 y)
87.0ms	(cbrt.f64 y)

Compiler

Compiled 1098 to 857 computations (21.9% saved)

simplify116.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5022	1733

prune153.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	126	4	130
Fresh	6	0	6
Picked	1	0	1
Done	0	1	1
Total	133	5	138

Error

Counts

138 → 5

Compiler

Compiled 3167 to 1301 computations (58.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.6b	(cbrt.f64 y)
4.9b	(pow.f64 y 1/3)

rewrite205.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

52×	`log-prod_binary64_2551`
38×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
27×	`add-sqr-sqrt_binary64_2487`
25×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
24×	`associate-+l+_binary64_2398`
15×	`unpow-prod-down_binary64_2544` `cbrt-prod_binary64_2496`
14×	`associate-+r+_binary64_2397`
7×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
6×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
5×	`sqr-pow_binary64_2437`
4×	`associate-r_binary64_2405`
3×	`pow-unpow_binary64_2542` `associate-l_binary64_2406`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow1/3_binary64_2532` `pow1/3_binary64_2547` `sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `+-commutative_binary64_2395` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `log-pow_binary64_2554` `*-commutative_binary64_2396`

Counts

4 → 112

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (pow.f64 y 1/3))))
6.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
2.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3277 to 1842 computations (43.8% saved)

series900.0ms (9.7%)

Error

Counts

4 → 18

Calls

4 calls:

395.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (pow.f64 y 1/3))))
285.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
105.0ms	(pow.f64 y 1/3)
92.0ms	(cbrt.f64 y)

Compiler

Compiled 1161 to 928 computations (20.1% saved)

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4871	1257
1	4871	1257

prune144.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	130	5	135

Error

Counts

135 → 5

Compiler

Compiled 3023 to 1412 computations (53.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
0.3b	(*.f64 (log.f64 y) 2/3)
0.5b	(cbrt.f64 (sqrt.f64 y))
0.5b	(cbrt.f64 (sqrt.f64 y))

rewrite148.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_2487`
12×	`add-cube-cbrt_binary64_2500` `cbrt-prod_binary64_2496` `*-un-lft-identity_binary64_2465`
9×	`pow1_binary64_2526`
8×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
7×	`associate-l_binary64_2406`
6×	`sqrt-prod_binary64_2481` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504`
2×	`pow1/3_binary64_2547` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `-commutative_binary64_2396` `associate-r/_binary64_2407`
1×	`log-pow_binary64_2554` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3-+_binary64_2468` `flip-+_binary64_2439`

Counts

4 → 69

Calls

4 calls:

15.0ms	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
9.0ms	(*.f64 (log.f64 y) 2/3)
4.0ms	(cbrt.f64 (sqrt.f64 y))
3.0ms	(cbrt.f64 (sqrt.f64 y))

Compiler

Compiled 2194 to 822 computations (62.5% saved)

series631.0ms (6.8%)

Error

Counts

4 → 15

Calls

4 calls:

376.0ms	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
92.0ms	(*.f64 (log.f64 y) 2/3)
80.0ms	(cbrt.f64 (sqrt.f64 y))
66.0ms	(cbrt.f64 (sqrt.f64 y))

Compiler

Compiled 1217 to 875 computations (28.1% saved)

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4942	992
1	4942	992

prune129.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Error

Counts

89 → 5

Compiler

Compiled 2438 to 920 computations (62.3% saved)

regimes844.0ms (9.1%)

Accuracy

Total 0.1b remaining (95.4%)

Threshold costs 0.1b (95.4%)

Compiler

Compiled 7042 to 5621 computations (20.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	33
1	42	33

end0.0ms (0%)

sample2.2s (24.1%)

Algorithm

1×

intervals

Results

755.0ms	7999×	body	128	valid
22.0ms	365×	body	128	nan
2.0ms	35×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 892 to 711 computations (20.3% saved)

Details

analyze613.0ms (6.6%)

sample28.0ms (0.3%)

simplify284.0ms (3.1%)

prune4.0ms (0%)

localize20.0ms (0.2%)

rewrite149.0ms (1.6%)

series1.1s (12.3%)

simplify79.0ms (0.8%)

prune128.0ms (1.4%)

localize16.0ms (0.2%)

rewrite187.0ms (2%)

series840.0ms (9%)

simplify116.0ms (1.2%)

prune153.0ms (1.6%)

localize30.0ms (0.3%)

rewrite205.0ms (2.2%)

series900.0ms (9.7%)

simplify98.0ms (1.1%)

prune144.0ms (1.5%)

localize21.0ms (0.2%)

rewrite148.0ms (1.6%)

series631.0ms (6.8%)

simplify136.0ms (1.5%)

prune129.0ms (1.4%)

regimes844.0ms (9.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (24.1%)

Profiling