Details

analyze363.0ms (4.2%)

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample79.0ms (0.9%)

Algorithm

1×

intervals

Results

41.0ms	71×	body	1024	valid
6.0ms	142×	body	128	valid
5.0ms	23×	body	512	valid
4.0ms	6×	body	2048	valid
2.0ms	14×	body	256	valid
0.0ms	3×	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%)

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

29.8b

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

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

29.7b

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)

series247.0ms (2.9%)

Error

0.9b

Counts

2 → 23

Calls

2 calls:

187.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
37.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 751 to 569 computations (24.2% saved)

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4976	826
1	4976	826

prune41.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Error

0.9b

Counts

51 → 4

Compiler

Compiled 670 to 293 computations (56.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 a))
0.0b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))))
0.1b	(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
0.1b	(log.f64 (+.f64 1 (exp.f64 a)))

rewrite169.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

13×	`*-un-lft-identity_binary64`
12×	`add-log-exp_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-exp-log_binary64` `sum-log_binary64`
4×	`log-div_binary64` `log-prod_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `associate-+r-_binary64`
3×	`+-commutative_binary64`
2×	`frac-add_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `associate-+r+_binary64`

Counts

4 → 57

Calls

4 calls:

31.0ms	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))))
10.0ms	(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
6.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
4.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 2597 to 1706 computations (34.3% saved)

series779.0ms (9.1%)

Error

0.9b

Counts

4 → 30

Calls

4 calls:

605.0ms	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))))
66.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
48.0ms	(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
20.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 2201 to 1638 computations (25.6% saved)

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5069	2311

prune144.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Error

0.9b

Counts

91 → 4

Compiler

Compiled 3095 to 2067 computations (33.2% 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)))

rewrite88.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

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:

5.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
4.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
3.0ms	(+.f64 1 (exp.f64 a))
3.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1378 to 850 computations (38.3% saved)

series186.0ms (2.2%)

Error

0.9b

Counts

4 → 21

Calls

4 calls:

80.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
64.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
15.0ms	(+.f64 1 (exp.f64 a))
10.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 710 to 557 computations (21.5% saved)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4902	1118
1	4902	1118

prune90.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	92	5	97

Error

0.9b

Counts

97 → 5

Compiler

Compiled 1605 to 1008 computations (37.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
0.6b	(cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
0.6b	(cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
0.6b	(cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))

rewrite468.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

150×	`cbrt-prod_binary64`
128×	`*-un-lft-identity_binary64`
102×	`times-frac_binary64`
92×	`add-sqr-sqrt_binary64`
68×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out_binary64` `swap-sqr_binary64`
21×	`associate-l_binary64` `associate-r_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_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` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 180

Calls

4 calls:

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

Compiler

Compiled 7273 to 4564 computations (37.2% saved)

series1.2s (13.4%)

Error

0.9b

Counts

4 → 24

Calls

4 calls:

358.0ms	(*.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
265.0ms	(cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
252.0ms	(cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
238.0ms	(cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))

Compiler

Compiled 2358 to 1780 computations (24.5% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5106	4805

prune429.0ms (5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	201	3	204
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	203	6	209

Error

0.9b

Counts

209 → 6

Compiler

Compiled 7332 to 4675 computations (36.2% saved)

regimes656.0ms (7.6%)

Accuracy

Total 0.5b remaining (44%)

Threshold costs 0.5b (44%)

Compiler

Compiled 8652 to 6179 computations (28.6% saved)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

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%)

sample3.3s (38.1%)

Algorithm

1×

intervals

Results

897.0ms	1936×	body	1024	valid
231.0ms	976×	body	512	valid
184.0ms	4436×	body	128	valid
114.0ms	185×	body	2048	valid
62.0ms	467×	body	256	valid
6.0ms	157×	body	128	overflowed

Compiler

Compiled 1385 to 999 computations (27.9% saved)

Details

analyze363.0ms (4.2%)

sample79.0ms (0.9%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize7.0ms (0.1%)

rewrite37.0ms (0.4%)

series247.0ms (2.9%)

simplify100.0ms (1.2%)

prune41.0ms (0.5%)

localize14.0ms (0.2%)

rewrite169.0ms (2%)

series779.0ms (9.1%)

simplify51.0ms (0.6%)

prune144.0ms (1.7%)

localize7.0ms (0.1%)

rewrite88.0ms (1%)

series186.0ms (2.2%)

simplify81.0ms (0.9%)

prune90.0ms (1.1%)

localize12.0ms (0.1%)

rewrite468.0ms (5.4%)

series1.2s (13.4%)

simplify95.0ms (1.1%)

prune429.0ms (5%)

regimes656.0ms (7.6%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample3.3s (38.1%)

Profiling