Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	60×	body	1024	valid
4.0ms	143×	body	128	valid
2.0ms	31×	body	512	valid
1.0ms	8×	body	2048	valid
1.0ms	14×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0.1%)

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

Merged error: 28.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`difference-of-squares_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-div_binary64` `distribute-lft-out_binary64` `pow1/3_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 43

Calls

3 calls:

9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series320.0ms (8.6%)

Counts

3 → 9

Calls

3 calls:

163.0ms	(cbrt.f64 x)
112.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
45.0ms	(cbrt.f64 (+.f64 x 1))

simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4976	720
1	4976	720

prune61.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 0.3b

Counts

53 → 6

Compiler

Compiled 763 to 516 computations (32.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.4b	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
10×	`log-prod_binary64`
8×	`difference-of-squares_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
3×	`distribute-lft-out_binary64`
2×	`cbrt-div_binary64` `flip3--_binary64` `pow1/3_binary64` `log-div_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `flip-+_binary64`

Counts

4 → 64

Calls

4 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series493.0ms (13.2%)

Counts

4 → 12

Calls

4 calls:

190.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
161.0ms	(cbrt.f64 x)
102.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
40.0ms	(cbrt.f64 (+.f64 x 1))

simplify103.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4853	1324
1	4853	1324

prune81.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	74	8	82

Merged error: 0.3b

Counts

82 → 8

Compiler

Compiled 1350 to 956 computations (29.2% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.4b	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
9.4b	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
9.4b	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

rewrite48.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
32×	`cbrt-prod_binary64`
30×	`log-prod_binary64`
16×	`difference-of-squares_binary64`
12×	`distribute-lft-out--_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `log-div_binary64`
4×	`flip3--_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
3×	`rem-log-exp_binary64` `log-pow_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

4 → 81

Calls

4 calls:

9.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
9.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

series650.0ms (17.4%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
182.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
174.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
102.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify90.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4902	2230
1	4902	2230

prune194.0ms (5.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Merged error: 0.3b

Counts

101 → 8

Compiler

Compiled 3733 to 2639 computations (29.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
0.6b	(cbrt.f64 x)
19.5b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite56.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`cbrt-prod_binary64`
36×	`add-sqr-sqrt_binary64`
34×	`*-un-lft-identity_binary64`
26×	`cbrt-div_binary64`
18×	`add-cube-cbrt_binary64`
12×	`swap-sqr_binary64`
11×	`pow1_binary64`
10×	`associate-r_binary64` `associate-l_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1/3_binary64`
7×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `flip--_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

25.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
15.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series386.0ms (10.3%)

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt.f64 x)
120.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
49.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
42.0ms	(cbrt.f64 (+.f64 x 1))

simplify90.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4871	2072
1	4871	2072

prune163.0ms (4.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	115	8	123

Merged error: 0.3b

Counts

123 → 8

Compiler

Compiled 2845 to 2186 computations (23.2% saved)

regimes60.0ms (1.6%)

Compiler: Compiled 363 to 297 computations (18.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	56
1	37	56

end0.0ms (0%)

sample734.0ms (19.7%)

Algorithm

1×

intervals

Results

190.0ms	1960×	body	1024	valid
110.0ms	4335×	body	128	valid
73.0ms	987×	body	512	valid
32.0ms	223×	body	2048	valid
23.0ms	495×	body	256	valid

Compiler

Compiled 190 to 151 computations (20.5% saved)

Details

analyze2.0ms (0%)

sample18.0ms (0.5%)

simplify11.0ms (0.3%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite16.0ms (0.4%)

series320.0ms (8.6%)

simplify85.0ms (2.3%)

prune61.0ms (1.6%)

localize10.0ms (0.3%)

rewrite28.0ms (0.8%)

series493.0ms (13.2%)

simplify103.0ms (2.7%)

prune81.0ms (2.2%)

localize16.0ms (0.4%)

rewrite48.0ms (1.3%)

series650.0ms (17.4%)

simplify90.0ms (2.4%)

prune194.0ms (5.2%)

localize9.0ms (0.2%)

rewrite56.0ms (1.5%)

series386.0ms (10.3%)

simplify90.0ms (2.4%)

prune163.0ms (4.4%)

regimes60.0ms (1.6%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample734.0ms (19.7%)

Profiling