Details

analyze440.0ms (5.2%)

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)

sample63.0ms (0.7%)

Algorithm

1×

intervals

Results

24.0ms	49×	body	1024	valid
7.0ms	30×	body	512	valid
7.0ms	159×	body	128	valid
3.0ms	5×	body	2048	valid
2.0ms	13×	body	256	valid
0.0ms	7×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (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

25.6b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
4.2b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

25.5b

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)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 363 to 92 computations (74.7% saved)

series349.0ms (4.1%)

Error

0.7b

Counts

2 → 23

Calls

2 calls:

278.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
48.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 751 to 569 computations (24.2% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4976	826
1	4976	826

prune49.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Error

0.7b

Counts

51 → 4

Compiler

Compiled 660 to 285 computations (56.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 a))
0.0b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
0.2b	(log.f64 (+.f64 1 (exp.f64 a)))

rewrite129.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

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

Counts

4 → 79

Calls

4 calls:

13.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
7.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
5.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
3.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1601 to 993 computations (38% saved)

series583.0ms (6.9%)

Error

0.7b

Counts

4 → 27

Calls

4 calls:

334.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
114.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
93.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
18.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 878 to 689 computations (21.5% saved)

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5048	1609

prune114.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	104	6	110

Error

0.7b

Counts

110 → 6

Compiler

Compiled 1858 to 1172 computations (36.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 b (+.f64 (exp.f64 a) 1))
0.0b	(/.f64 b (+.f64 (exp.f64 a) 1))
0.2b	(log.f64 (+.f64 1 (exp.f64 a)))
0.3b	(*.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite432.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

123×	`*-un-lft-identity_binary64`
98×	`sqrt-prod_binary64`
97×	`add-sqr-sqrt_binary64`
92×	`times-frac_binary64`
63×	`add-cube-cbrt_binary64`
29×	`swap-sqr_binary64`
27×	`distribute-lft-out_binary64`
21×	`associate-l_binary64` `associate-r_binary64`
20×	`pow1_binary64`
12×	`associate-/r/_binary64`
11×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1/2_binary64` `sqrt-pow1_binary64` `associate-/r*_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`div-inv_binary64` `associate-/l*_binary64`
5×	`pow-prod-up_binary64`
4×	`add-log-exp_binary64` `rem-sqrt-square_binary64` `sqrt-div_binary64` `log-prod_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`sqr-abs_binary64` `log-div_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `rem-square-sqrt_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `log-pow_binary64` `rem-log-exp_binary64`

Counts

4 → 191

Calls

4 calls:

29.0ms	(*.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
6.0ms	(/.f64 b (+.f64 (exp.f64 a) 1))
6.0ms	(/.f64 b (+.f64 (exp.f64 a) 1))
4.0ms	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 5982 to 3755 computations (37.2% saved)

series459.0ms (5.4%)

Error

0.7b

Counts

4 → 22

Calls

4 calls:

121.0ms	(/.f64 b (+.f64 (exp.f64 a) 1))
116.0ms	(*.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
112.0ms	(/.f64 b (+.f64 (exp.f64 a) 1))
86.0ms	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 1224 to 907 computations (25.9% saved)

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4934	3375
1	4934	3375

prune332.0ms (3.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	213	6	219

Error

0.7b

Counts

219 → 6

Compiler

Compiled 5229 to 3268 computations (37.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(log.f64 (+.f64 1 (exp.f64 a)))
0.4b	(cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
0.4b	(cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
0.7b	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 5)

rewrite290.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

63×	`cbrt-prod_binary64`
54×	`sqrt-prod_binary64` `*-un-lft-identity_binary64`
36×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`unpow-prod-down_binary64`
10×	`distribute-lft-out_binary64`
6×	`associate-/r/_binary64` `pow1_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `log-prod_binary64`
3×	`div-inv_binary64` `pow-unpow_binary64` `pow1/3_binary64`
2×	`pow-pow_binary64` `sqrt-div_binary64` `cbrt-div_binary64` `log-div_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `log-pow_binary64` `rem-log-exp_binary64`

Counts

4 → 114

Calls

4 calls:

10.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 5)
7.0ms	(cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
7.0ms	(cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
3.0ms	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 4024 to 2773 computations (31.1% saved)

series1.2s (14.6%)

Error

0.7b

Counts

4 → 22

Calls

4 calls:

516.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 5)
315.0ms	(cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
294.0ms	(cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
79.0ms	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 1832 to 1455 computations (20.6% saved)

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4906	2946
1	4906	2946

prune266.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	136	6	142

Error

0.7b

Counts

142 → 6

Compiler

Compiled 4306 to 2967 computations (31.1% saved)

regimes468.0ms (5.5%)

Accuracy

Total 0.4b remaining (45.5%)

Threshold costs 0.4b (45.5%)

Compiler

Compiled 5046 to 3686 computations (27% saved)

bsearch0.0ms (0%)

simplify14.0ms (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%)

sample2.8s (32.8%)

Algorithm

1×

intervals

Results

874.0ms	1905×	body	1024	valid
224.0ms	961×	body	512	valid
187.0ms	4440×	body	128	valid
138.0ms	212×	body	2048	valid
62.0ms	482×	body	256	valid
5.0ms	128×	body	128	overflowed

Compiler

Compiled 800 to 594 computations (25.8% saved)

Details

analyze440.0ms (5.2%)

sample63.0ms (0.7%)

simplify7.0ms (0.1%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite45.0ms (0.5%)

series349.0ms (4.1%)

simplify96.0ms (1.1%)

prune49.0ms (0.6%)

localize8.0ms (0.1%)

rewrite129.0ms (1.5%)

series583.0ms (6.9%)

simplify79.0ms (0.9%)

prune114.0ms (1.3%)

localize11.0ms (0.1%)

rewrite432.0ms (5.1%)

series459.0ms (5.4%)

simplify105.0ms (1.2%)

prune332.0ms (3.9%)

localize15.0ms (0.2%)

rewrite290.0ms (3.4%)

series1.2s (14.6%)

simplify88.0ms (1%)

prune266.0ms (3.1%)

regimes468.0ms (5.5%)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

end0.0ms (0%)

sample2.8s (32.8%)

Profiling