Details

analyze167.0ms (3.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	9	26
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
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)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	21×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify7.0ms (0.1%)

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%)

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

0.8b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite49.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

21×	`*-un-lft-identity_binary64_3488`
12×	`times-frac_binary64_3494`
11×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510`
5×	`distribute-lft-out_binary64_3439`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `associate-/r*_binary64_3432`
3×	`add-exp-log_binary64_3526` `associate-/l*_binary64_3433`
2×	`pow1_binary64_3549` `flip3-+_binary64_3491` `associate-/r/_binary64_3434` `flip-+_binary64_3462`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `sum-log_binary64_3579` `+-commutative_binary64_3418`

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))

Compiler

Compiled 750 to 153 computations (79.6% saved)

series218.0ms (4.5%)

Error

0.2b

Counts

2 → 23

Calls

2 calls:

158.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
35.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1023 to 686 computations (32.9% saved)

simplify102.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4953	1435
1	4953	1435

prune55.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Error

0.2b

Counts

69 → 3

Compiler

Compiled 1137 to 379 computations (66.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite80.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

37×	`*-un-lft-identity_binary64_3488`
24×	`times-frac_binary64_3494`
21×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510`
19×	`log-pow_binary64_3577`
18×	`exp-prod_binary64_3540`
8×	`distribute-lft-out_binary64_3439`
5×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
4×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `associate-/r/_binary64_3434` `associate-/r*_binary64_3432`
3×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `associate-/l*_binary64_3433` `log-prod_binary64_3574`
2×	`div-inv_binary64_3485`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `sum-log_binary64_3579` `+-commutative_binary64_3418` `rem-log-exp_binary64_3529`

Counts

3 → 75

Calls

3 calls:

8.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 1464 to 350 computations (76.1% saved)

series620.0ms (12.8%)

Error

0.2b

Counts

3 → 33

Calls

3 calls:

381.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
162.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
40.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 1883 to 1295 computations (31.2% saved)

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4992	2358
1	4992	2358

prune86.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	108	3	111

Error

0.2b

Counts

111 → 3

Compiler

Compiled 2054 to 684 computations (66.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0b	(+.f64 1 (exp.f64 b))

rewrite52.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`*-un-lft-identity_binary64_3488`
12×	`times-frac_binary64_3494`
11×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510`
6×	`add-exp-log_binary64_3526`
5×	`distribute-lft-out_binary64_3439`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `associate-/r*_binary64_3432`
3×	`pow1_binary64_3549` `associate-/l*_binary64_3433`
2×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `div-exp_binary64_3539` `associate-/r/_binary64_3434`
1×	`sum-log_binary64_3579` `+-commutative_binary64_3418` `inv-pow_binary64_3573` `pow-flip_binary64_3562` `1-exp_binary64_3532` `rec-exp_binary64_3538` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485`

Counts

2 → 49

Calls

2 calls:

6.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
4.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 634 to 468 computations (26.2% saved)

series52.0ms (1.1%)

Error

0.2b

Counts

2 → 10

Calls

2 calls:

29.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
13.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 167 to 168 computations (-0.6% saved)

simplify91.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4793	688
1	4793	688

prune47.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	59	3	62

Error

0.2b

Counts

62 → 3

Compiler

Compiled 654 to 483 computations (26.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
0.0b	(cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
0.0b	(.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
0.5b	(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))

rewrite603.0ms (12.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

169×	`cbrt-prod_binary64_3519`
140×	`*-un-lft-identity_binary64_3488`
114×	`add-sqr-sqrt_binary64_3510` `times-frac_binary64_3494`
69×	`add-cube-cbrt_binary64_3523`
42×	`associate-r_binary64_3428`
30×	`pow1_binary64_3549`
29×	`swap-sqr_binary64_3455`
27×	`distribute-lft-out_binary64_3439`
22×	`associate-l_binary64_3429`
20×	`unswap-sqr_binary64_3456`
18×	`cbrt-div_binary64_3520`
17×	`pow1/3_binary64_3570`
14×	`associate-/r/_binary64_3434`
11×	`pow-prod-up_binary64_3558` `add-exp-log_binary64_3526`
9×	`div-inv_binary64_3485`
7×	`pow-prod-down_binary64_3559` `pow-plus_binary64_3551` `flip3-+_binary64_3491` `flip-+_binary64_3462`
6×	`frac-times_binary64_3498` `associate-*l/_binary64_3431`
5×	`add-cbrt-cube_binary64_3524` `pow-sqr_binary64_3461`
4×	`prod-exp_binary64_3537` `add-log-exp_binary64_3527` `cbrt-unprod_binary64_3521` `associate-*r/_binary64_3430`
3×	`pow2_binary64_3569`
2×	`*-commutative_binary64_3419`
1×	`pow3_binary64_3571` `rem-3cbrt-lft_binary64_3513`

Counts

4 → 222

Calls

4 calls:

28.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
26.0ms	(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
6.0ms	(cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
6.0ms	(cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))

Compiler

Compiled 7381 to 5681 computations (23% saved)

series420.0ms (8.7%)

Error

0.2b

Counts

4 → 19

Calls

4 calls:

150.0ms	(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
108.0ms	(cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
106.0ms	(cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
35.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))

Compiler

Compiled 1038 to 922 computations (11.2% saved)

simplify109.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5016	5504

prune408.0ms (8.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	240	1	241
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	240	4	244

Error

0.2b

Counts

244 → 4

Compiler

Compiled 6440 to 4956 computations (23% saved)

regimes330.0ms (6.8%)

Accuracy

Total 0.4b remaining (64.8%)

Threshold costs 0.4b (64.8%)

Compiler

Compiled 3914 to 3202 computations (18.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample1.2s (25.6%)

Algorithm

1×

intervals

Results

240.0ms	8000×	body	128	valid
21.0ms	672×	body	128	overflowed

Compiler

Compiled 690 to 566 computations (18% saved)

Details

analyze167.0ms (3.4%)

sample17.0ms (0.4%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite49.0ms (1%)

series218.0ms (4.5%)

simplify102.0ms (2.1%)

prune55.0ms (1.1%)

localize8.0ms (0.2%)

rewrite80.0ms (1.7%)

series620.0ms (12.8%)

simplify66.0ms (1.4%)

prune86.0ms (1.8%)

localize4.0ms (0.1%)

rewrite52.0ms (1.1%)

series52.0ms (1.1%)

simplify91.0ms (1.9%)

prune47.0ms (1%)

localize8.0ms (0.2%)

rewrite603.0ms (12.4%)

series420.0ms (8.7%)

simplify109.0ms (2.2%)

prune408.0ms (8.4%)

regimes330.0ms (6.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (25.6%)

Profiling