Details

analyze260.0ms (10.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4882	28
1	4882	28
0	2	2
1	2	2

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
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	237×	body	128	valid
2.0ms	11×	body	512	valid
1.0ms	3×	body	1024	valid
1.0ms	5×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify138.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

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: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.1b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_2465`
8×	`log-prod_binary64_2551`
6×	`add-log-exp_binary64_2504`
5×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`log-div_binary64_2552` `add-exp-log_binary64_2503` `pow1_binary64_2526` `associate--l+_binary64_2402`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `add-cbrt-cube_binary64_2501` `distribute-lft-out_binary64_2416`
2×	`associate--l-_binary64_2403`
1×	`+-commutative_binary64_2395` `flip--_binary64_2440` `log-pow_binary64_2554` `sum-log_binary64_2556` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `diff-log_binary64_2557` `flip3--_binary64_2469` `rem-log-exp_binary64_2506`

Counts

3 → 45

Calls

3 calls:

6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(+.f64 1 (exp.f64 x))

series88.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

42.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
40.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
6.0ms	(+.f64 1 (exp.f64 x))

simplify105.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4858	767
1	4858	767

prune47.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Merged error: 0b

Counts

55 → 3

Compiler

Compiled 818 to 463 computations (43.4% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
0.1b	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
5.8b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite42.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_2465`
28×	`add-sqr-sqrt_binary64_2487`
26×	`log-prod_binary64_2551`
22×	`add-cube-cbrt_binary64_2500`
20×	`times-frac_binary64_2471`
13×	`distribute-lft-out_binary64_2416`
8×	`pow-pow_binary64_2537`
7×	`add-exp-log_binary64_2503` `unpow-prod-down_binary64_2544` `pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `exp-prod_binary64_2517` `pow-unpow_binary64_2542`
5×	`distribute-lft-out--_binary64_2417` `add-cbrt-cube_binary64_2501`
4×	`difference-of-squares_binary64_2434`
3×	`unpow2_binary64_2530` `cube-prod_binary64_2493` `cancel-sign-sub-inv_binary64_2431` `sqr-pow_binary64_2437`
2×	`pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `associate-/r/_binary64_2411` `rem-log-exp_binary64_2506`
1×	`flip3-+_binary64_2468` `log-div_binary64_2552` `rem-cube-cbrt_binary64_2488` `unpow3_binary64_2531` `flip--_binary64_2440` `log-pow_binary64_2554` `flip-+_binary64_2439` `sub-neg_binary64_2458` `cube-mult_binary64_2495` `div-exp_binary64_2516` `div-inv_binary64_2462` `diff-log_binary64_2557` `flip3--_binary64_2469` `distribute-rgt-out--_binary64_2419`

Counts

4 → 104

Calls

4 calls:

15.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
9.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
3.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) 2)

series284.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

224.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
26.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
22.0ms	(pow.f64 (exp.f64 x) 3)
12.0ms	(pow.f64 (exp.f64 x) 2)

simplify95.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4981	2243
1	4981	2243

prune148.0ms (6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

Compiler

Compiled 3091 to 1839 computations (40.5% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
0.8b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
0.8b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_2465`
14×	`log-prod_binary64_2551`
8×	`add-log-exp_binary64_2504` `sqrt-prod_binary64_2481` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `pow1_binary64_2526`
6×	`log-pow_binary64_2554` `add-exp-log_binary64_2503`
4×	`flip3-+_binary64_2468` `log-div_binary64_2552` `flip-+_binary64_2439` `add-cbrt-cube_binary64_2501` `distribute-lft-out_binary64_2416` `sqrt-div_binary64_2482`
2×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-log-exp_binary64_2506`

Counts

4 → 64

Calls

4 calls:

5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(+.f64 1 (exp.f64 x))
4.0ms	(+.f64 1 (exp.f64 x))

series127.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
56.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
6.0ms	(+.f64 1 (exp.f64 x))
6.0ms	(+.f64 1 (exp.f64 x))

simplify67.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4978	988
1	4978	988

prune82.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 1642 to 1047 computations (36.2% saved)

regimes42.0ms (1.7%)

Compiler: Compiled 271 to 222 computations (18.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample872.0ms (35%)

Algorithm

1×

intervals

Results

363.0ms	7373×	body	128	valid
92.0ms	228×	body	1024	valid
58.0ms	258×	body	512	valid
18.0ms	141×	body	256	valid
3.0ms	52×	body	128	invalid
0.0ms	4×	body	128	overflowed

Compiler

Compiled 128 to 105 computations (18% saved)

Details

analyze260.0ms (10.4%)

sample22.0ms (0.9%)

simplify138.0ms (5.5%)

prune2.0ms (0.1%)

localize7.0ms (0.3%)

rewrite16.0ms (0.6%)

series88.0ms (3.5%)

simplify105.0ms (4.2%)

prune47.0ms (1.9%)

localize13.0ms (0.5%)

rewrite42.0ms (1.7%)

series284.0ms (11.4%)

simplify95.0ms (3.8%)

prune148.0ms (6%)

localize9.0ms (0.4%)

rewrite22.0ms (0.9%)

series127.0ms (5.1%)

simplify67.0ms (2.7%)

prune82.0ms (3.3%)

regimes42.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample872.0ms (35%)

Profiling