Details

analyze77.0ms (3.8%)

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)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	23×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify101.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3147`
12×	`times-frac_binary64_3153`
11×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
5×	`distribute-lft-out_binary64_3098`
4×	`add-cbrt-cube_binary64_3183` `associate-/r*_binary64_3091` `add-log-exp_binary64_3186`
3×	`add-exp-log_binary64_3185` `associate-/l*_binary64_3092`
2×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `pow1_binary64_3208` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `+-commutative_binary64_3077` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `div-inv_binary64_3144` `sum-log_binary64_3238`

Counts

2 → 45

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series79.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify66.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5701	899

prune37.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Error

Counts

52 → 4

Compiler

Compiled 776 to 180 computations (76.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.2b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite38.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_3147`
36×	`times-frac_binary64_3153` `exp-prod_binary64_3199`
30×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
19×	`log-pow_binary64_3236`
11×	`distribute-lft-out_binary64_3098`
7×	`add-log-exp_binary64_3186`
6×	`add-cbrt-cube_binary64_3183` `associate-/r/_binary64_3093`
5×	`add-exp-log_binary64_3185` `pow1_binary64_3208`
4×	`flip-+_binary64_3121` `associate-/r*_binary64_3091` `flip3-+_binary64_3150`
3×	`associate-/l*_binary64_3092` `log-prod_binary64_3233` `div-inv_binary64_3144`
1×	`rem-log-exp_binary64_3188` `clear-num_binary64_3146` `frac-2neg_binary64_3158` `+-commutative_binary64_3077` `cbrt-undiv_binary64_3181` `rem-exp-log_binary64_3187` `div-exp_binary64_3198` `sum-log_binary64_3238`

Counts

4 → 101

Calls

4 calls:

10.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
7.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series225.0ms (11%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
62.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
48.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify74.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5736	1915

prune81.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Error

Counts

117 → 4

Compiler

Compiled 1948 to 399 computations (79.5% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
0.0b	(pow.f64 (exp.f64 a) 3)
0.2b	(*.f64 (exp.f64 a) (exp.f64 b))
5.6b	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))

rewrite48.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64_3147`
27×	`times-frac_binary64_3153`
26×	`add-sqr-sqrt_binary64_3169`
24×	`add-cube-cbrt_binary64_3182`
20×	`distribute-lft-out_binary64_3098`
19×	`unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
9×	`add-cbrt-cube_binary64_3183` `associate-/r*_binary64_3091`
7×	`pow1_binary64_3208`
6×	`add-log-exp_binary64_3186`
5×	`add-exp-log_binary64_3185` `exp-prod_binary64_3199`
4×	`sum-cubes_binary64_3148` `pow-pow_binary64_3219`
3×	`associate-r_binary64_3087` `pow-unpow_binary64_3224` `associate-/l_binary64_3092` `associate-l*_binary64_3088`
2×	`associate-/r/_binary64_3093`
1×	`*-commutative_binary64_3078` `pow-exp_binary64_3215` `flip--_binary64_3122` `unswap-sqr_binary64_3115` `clear-num_binary64_3146` `cancel-sign-sub-inv_binary64_3113` `flip-+_binary64_3121` `pow-prod-down_binary64_3218` `flip3--_binary64_3151` `rem-cube-cbrt_binary64_3170` `frac-2neg_binary64_3158` `flip3-+_binary64_3150` `pow-to-exp_binary64_3216` `sub-neg_binary64_3140` `sqr-pow_binary64_3119` `prod-exp_binary64_3196` `cube-mult_binary64_3177` `cbrt-undiv_binary64_3181` `pow-prod-up_binary64_3217` `cbrt-unprod_binary64_3180` `div-exp_binary64_3198` `diff-log_binary64_3239` `unpow3_binary64_3213` `distribute-rgt-out--_binary64_3101` `div-inv_binary64_3144`

Counts

4 → 111

Calls

4 calls:

16.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
9.0ms	(*.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(pow.f64 (exp.f64 a) 3)

series190.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
47.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	(*.f64 (exp.f64 a) (exp.f64 b))
21.0ms	(pow.f64 (exp.f64 a) 3)

simplify71.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5050	2121

prune151.0ms (7.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 4331 to 1286 computations (70.3% saved)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes96.0ms (4.7%)

Accuracy

Total 0.1b remaining (20.9%)

Threshold costs 0.1b (20.9%)

Compiler

Compiled 1063 to 632 computations (40.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

end0.0ms (0%)

sample625.0ms (30.7%)

Algorithm

1×

intervals

Results

226.0ms	8000×	body	128	valid
19.0ms	685×	body	128	overflowed

Compiler

Compiled 232 to 143 computations (38.4% saved)

Details

analyze77.0ms (3.8%)

sample15.0ms (0.7%)

simplify101.0ms (4.9%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite15.0ms (0.7%)

series79.0ms (3.9%)

simplify66.0ms (3.3%)

prune37.0ms (1.8%)

localize8.0ms (0.4%)

rewrite38.0ms (1.9%)

series225.0ms (11%)

simplify74.0ms (3.7%)

prune81.0ms (4%)

localize15.0ms (0.7%)

rewrite48.0ms (2.4%)

series190.0ms (9.3%)

simplify71.0ms (3.5%)

prune151.0ms (7.4%)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.4%)

prune0.0ms (0%)

regimes96.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample625.0ms (30.7%)

Profiling