Details

analyze385.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	8	20
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
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	37.5%	12.6%	6
50%	25%	25.1%	7
50%	18.7%	31.3%	8
50%	12.5%	37.6%	9
50%	9.4%	40.7%	10
50%	6.2%	43.8%	11
50%	4.7%	45.4%	12
50%	3.1%	46.9%	13
50%	2.3%	47.7%	14

Symmetry

(sort a b)

Compiler

Compiled 7 to 7 computations (0% saved)

sample74.0ms (1.2%)

Algorithm

1×

intervals

Results

36.0ms	62×	body	1024	valid
6.0ms	145×	body	128	valid
6.0ms	25×	body	512	valid
2.0ms	4×	body	2048	valid
2.0ms	20×	body	256	valid
0.0ms	9×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

prune4.0ms (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

27.6b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
3.2b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

27.6b

Rules

7×	`*-un-lft-identity_binary64`
4×	`log-prod_binary64` `add-log-exp_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-exp-log_binary64`
2×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 27

Calls

2 calls:

6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 363 to 92 computations (74.7% saved)

series245.0ms (3.9%)

Error

0.8b

Counts

2 → 23

Calls

2 calls:

185.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
36.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 751 to 569 computations (24.2% saved)

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4976	826
1	4976	826

prune48.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	6	51

Error

0.7b

Counts

51 → 6

Compiler

Compiled 694 to 309 computations (55.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
0.0b	(+.f64 1 (exp.f64 a))
0.0b	(+.f64 1 (exp.f64 a))
0.1b	(log.f64 (+.f64 1 (exp.f64 a)))

rewrite100.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

28×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64`
7×	`distribute-lft-out_binary64` `add-exp-log_binary64`
6×	`add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `log-prod_binary64` `associate-/r*_binary64`
3×	`associate-/l*_binary64`
2×	`log-div_binary64` `sum-log_binary64` `+-commutative_binary64` `associate-/r/_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(+.f64 1 (exp.f64 a))
5.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
4.0ms	(+.f64 1 (exp.f64 a))
4.0ms	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 1378 to 850 computations (38.3% saved)

series179.0ms (2.9%)

Error

0.7b

Counts

4 → 21

Calls

4 calls:

78.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
60.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
15.0ms	(+.f64 1 (exp.f64 a))
11.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 710 to 557 computations (21.5% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4902	1118
1	4902	1118

prune89.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	91	8	99

Error

0.7b

Counts

99 → 8

Compiler

Compiled 1653 to 1041 computations (37% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
0.7b	(cbrt.f64 b)
0.7b	(cbrt.f64 b)
0.7b	(cbrt.f64 b)

rewrite94.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

Compiler

Compiled 1743 to 745 computations (57.3% saved)

series337.0ms (5.4%)

Error

0.7b

Counts

4 → 12

Calls

4 calls:

99.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
78.0ms	(cbrt.f64 b)
75.0ms	(cbrt.f64 b)
72.0ms	(cbrt.f64 b)

Compiler

Compiled 771 to 563 computations (27% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune94.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	84	9	93

Error

0.7b

Counts

93 → 9

Compiler

Compiled 1985 to 1004 computations (49.4% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 b)
0.7b	(cbrt.f64 b)
0.7b	(cbrt.f64 b)
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 b)) 4)

rewrite90.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

18×	`cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`pow1/3_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64`

Counts

4 → 57

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 b)) 4)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

Compiler

Compiled 1769 to 804 computations (54.6% saved)

series388.0ms (6.2%)

Error

0.7b

Counts

4 → 12

Calls

4 calls:

132.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 b)) 4)
83.0ms	(cbrt.f64 b)
79.0ms	(cbrt.f64 b)
77.0ms	(cbrt.f64 b)

Compiler

Compiled 1029 to 712 computations (30.8% saved)

simplify39.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4961	535
1	4961	535

prune86.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	70	8	78

Error

0.7b

Counts

78 → 8

Compiler

Compiled 2012 to 958 computations (52.4% saved)

regimes557.0ms (9%)

Accuracy

Total 0.4b remaining (36.7%)

Threshold costs 0.4b (36.7%)

Compiler

Compiled 7208 to 5107 computations (29.1% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	47
1	23	47

Compiler

Compiled 60 to 44 computations (26.7% saved)

end0.0ms (0%)

sample3.0s (49%)

Algorithm

1×

intervals

Results

905.0ms	2016×	body	1024	valid
214.0ms	929×	body	512	valid
190.0ms	4356×	body	128	valid
128.0ms	206×	body	2048	valid
58.0ms	493×	body	256	valid
6.0ms	156×	body	128	overflowed

Compiler

Compiled 1172 to 833 computations (28.9% saved)

Details

analyze385.0ms (6.2%)

sample74.0ms (1.2%)

simplify8.0ms (0.1%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite35.0ms (0.6%)

series245.0ms (3.9%)

simplify97.0ms (1.6%)

prune48.0ms (0.8%)

localize7.0ms (0.1%)

rewrite100.0ms (1.6%)

series179.0ms (2.9%)

simplify84.0ms (1.4%)

prune89.0ms (1.4%)

localize14.0ms (0.2%)

rewrite94.0ms (1.5%)

series337.0ms (5.4%)

simplify76.0ms (1.2%)

prune94.0ms (1.5%)

localize17.0ms (0.3%)

rewrite90.0ms (1.5%)

series388.0ms (6.2%)

simplify39.0ms (0.6%)

prune86.0ms (1.4%)

regimes557.0ms (9%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

end0.0ms (0%)

sample3.0s (49%)

Profiling