Details

analyze290.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample30.0ms (0.1%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	17×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify225.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune7.0ms (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

Merged error: 1.0b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite57.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2806`
12×	`times-frac_binary64_2812`
11×	`add-sqr-sqrt_binary64_2828` `add-cube-cbrt_binary64_2841`
5×	`distribute-lft-out_binary64_2757`
4×	`add-cbrt-cube_binary64_2842` `associate-/r*_binary64_2750` `add-log-exp_binary64_2845`
3×	`add-exp-log_binary64_2844` `associate-/l*_binary64_2751`
2×	`flip-+_binary64_2780` `flip3-+_binary64_2809` `associate-/r/_binary64_2752` `pow1_binary64_2867`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `sum-log_binary64_2897` `clear-num_binary64_2805` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

2 → 45

Calls

2 calls:

31.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series184.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

154.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
30.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify105.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5701	899

prune544.0ms (2.3%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	28	23	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	24	52

Merged error: 0.2b

Counts

52 → 24

Compiler

Compiled 1148 to 372 computations (67.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.4b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite59.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2806`
13×	`add-sqr-sqrt_binary64_2828`
9×	`add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
8×	`cancel-sign-sub-inv_binary64_2772` `log-prod_binary64_2892`
7×	`exp-sum_binary64_2852`
6×	`log-div_binary64_2893` `exp-prod_binary64_2858`
5×	`add-exp-log_binary64_2844` `log-pow_binary64_2895`
4×	`associate--r+_binary64_2742` `add-cbrt-cube_binary64_2842` `distribute-lft-out--_binary64_2758` `associate--r-_binary64_2745` `flip-+_binary64_2780` `flip3-+_binary64_2809`
3×	`distribute-lft-out_binary64_2757`
2×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `difference-of-squares_binary64_2775` `rem-exp-log_binary64_2846`
1×	`flip3--_binary64_2810` `rem-log-exp_binary64_2847` `sum-log_binary64_2897` `flip--_binary64_2781` `exp-diff_binary64_2854` `+-commutative_binary64_2736`

Counts

4 → 74

Calls

4 calls:

16.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
12.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
10.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series511.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

299.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
86.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
80.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
45.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify273.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (203.0ms)

Iter	Nodes	Cost
0	5980	1300

prune1.2s (5%)

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	65	21	86
Fresh	5	17	22
Picked	0	1	1
Done	0	1	1
Total	70	40	110

Merged error: 0.2b

Counts

110 → 40

Compiler

Compiled 1986 to 762 computations (61.6% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
0.4b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
1.4b	(-.f64 a (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
3.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite53.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`cbrt-prod_binary64_2837`
24×	`add-sqr-sqrt_binary64_2828`
19×	`*-un-lft-identity_binary64_2806`
17×	`cancel-sign-sub-inv_binary64_2772`
15×	`add-cube-cbrt_binary64_2841`
13×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
12×	`pow1_binary64_2867`
7×	`log-pow_binary64_2895`
6×	`add-exp-log_binary64_2844` `add-log-exp_binary64_2845`
5×	`add-cbrt-cube_binary64_2842` `difference-of-squares_binary64_2775`
4×	`sqr-pow_binary64_2778` `log-prod_binary64_2892`
3×	`unpow3_binary64_2872` `pow-unpow_binary64_2883` `cube-mult_binary64_2836`
2×	`log-div_binary64_2893`
1×	`pow-exp_binary64_2874` `pow1/3_binary64_2888` `distribute-lft-out_binary64_2757` `flip3--_binary64_2810` `distribute-lft-out--_binary64_2758` `pow-pow_binary64_2878` `diff-log_binary64_2898` `rem-log-exp_binary64_2847` `sub-neg_binary64_2799` `pow-to-exp_binary64_2875` `flip-+_binary64_2780` `flip--_binary64_2781` `flip3-+_binary64_2809` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829`

Counts

4 → 97

Calls

4 calls:

18.0ms	(-.f64 a (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
9.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
5.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)

series1.0s (4.4%)

Counts

4 → 12

Calls

4 calls:

598.0ms	(-.f64 a (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
257.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
117.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
72.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

simplify236.0ms (1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	5014	1831

prune1.5s (6.4%)

Pruning

54 alts after pruning (51 fresh and 3 done)

	Pruned	Kept	Total
New	89	20	109
Fresh	6	31	37
Picked	0	1	1
Done	0	2	2
Total	95	54	149

Merged error: 0.2b

Counts

149 → 54

Compiler

Compiled 2748 to 1239 computations (54.9% saved)

localize66.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (+.f64 (log.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
0.4b	(cbrt.f64 (pow.f64 (+.f64 (log.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
1.4b	(-.f64 a (cbrt.f64 (pow.f64 (+.f64 (log.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
3.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite155.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`cbrt-prod_binary64_2837`
43×	`*-un-lft-identity_binary64_2806`
30×	`pow1_binary64_2867`
25×	`distribute-lft-out_binary64_2757` `log-pow_binary64_2895`
24×	`add-sqr-sqrt_binary64_2828`
23×	`cancel-sign-sub-inv_binary64_2772`
22×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
15×	`add-cube-cbrt_binary64_2841`
6×	`add-exp-log_binary64_2844` `add-log-exp_binary64_2845`
5×	`add-cbrt-cube_binary64_2842` `difference-of-squares_binary64_2775`
4×	`sqr-pow_binary64_2778` `log-prod_binary64_2892` `cube-div_binary64_2835`
3×	`unpow3_binary64_2872` `pow-unpow_binary64_2883` `flip-+_binary64_2780` `flip3-+_binary64_2809` `cube-mult_binary64_2836`
2×	`cbrt-div_binary64_2838` `log-div_binary64_2893`
1×	`pow-exp_binary64_2874` `pow1/3_binary64_2888` `flip3--_binary64_2810` `distribute-lft-out--_binary64_2758` `pow-pow_binary64_2878` `diff-log_binary64_2898` `rem-log-exp_binary64_2847` `sub-neg_binary64_2799` `pow-to-exp_binary64_2875` `flip--_binary64_2781` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829`

Counts

4 → 119

Calls

4 calls:

57.0ms	(-.f64 a (cbrt.f64 (pow.f64 (+.f64 (log.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
28.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	(cbrt.f64 (pow.f64 (+.f64 (log.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
14.0ms	(pow.f64 (+.f64 (log.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)

series372.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(-.f64 a (cbrt.f64 (pow.f64 (+.f64 (log.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
112.0ms	(pow.f64 (+.f64 (log.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
78.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
70.0ms	(cbrt.f64 (pow.f64 (+.f64 (log.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))

simplify217.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	4876	2268
1	4876	2268

prune1.4s (6%)

Pruning

60 alts after pruning (56 fresh and 4 done)

	Pruned	Kept	Total
New	117	14	131
Fresh	8	42	50
Picked	0	1	1
Done	0	3	3
Total	125	60	185

Merged error: 0.2b

Counts

185 → 60

Compiler

Compiled 2146 to 856 computations (60.1% saved)

regimes3.4s (14%)

Compiler: Compiled 14471 to 10117 computations (30.1% saved)

bsearch3.7s (15.3%)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

end0.0ms (0%)

sample8.2s (34.4%)

Algorithm

1×

intervals

Results

434.0ms	8000×	body	128	valid
31.0ms	697×	body	128	overflowed

Compiler

Compiled 2824 to 2002 computations (29.1% saved)

Pareto

Details

analyze290.0ms (1.2%)

sample30.0ms (0.1%)

simplify225.0ms (0.9%)

prune7.0ms (0%)

localize17.0ms (0.1%)

rewrite57.0ms (0.2%)

series184.0ms (0.8%)

simplify105.0ms (0.4%)

prune544.0ms (2.3%)

localize18.0ms (0.1%)

rewrite59.0ms (0.2%)

series511.0ms (2.1%)

simplify273.0ms (1.1%)

prune1.2s (5%)

localize50.0ms (0.2%)

rewrite53.0ms (0.2%)

series1.0s (4.4%)

simplify236.0ms (1%)

prune1.5s (6.4%)

localize66.0ms (0.3%)

rewrite155.0ms (0.6%)

series372.0ms (1.6%)

simplify217.0ms (0.9%)

prune1.4s (6%)

regimes3.4s (14%)

bsearch3.7s (15.3%)

simplify12.0ms (0.1%)

end0.0ms (0%)

sample8.2s (34.4%)

Profiling