Details

analyze69.0ms (3.3%)

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)

sample20.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	23×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify93.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune3.0ms (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)))

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2465`
12×	`times-frac_binary64_2471`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
5×	`distribute-lft-out_binary64_2416`
4×	`add-log-exp_binary64_2504` `associate-/r*_binary64_2409` `add-cbrt-cube_binary64_2501`
3×	`add-exp-log_binary64_2503` `associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1_binary64_2526` `associate-/r/_binary64_2411`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`

Counts

2 → 45

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series82.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify66.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5701	899

prune41.0ms (2%)

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)))))

rewrite37.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_2465`
36×	`times-frac_binary64_2471` `exp-prod_binary64_2517`
30×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
19×	`log-pow_binary64_2554`
11×	`distribute-lft-out_binary64_2416`
7×	`add-log-exp_binary64_2504`
6×	`add-cbrt-cube_binary64_2501` `associate-/r/_binary64_2411`
5×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
4×	`flip3-+_binary64_2468` `associate-/r*_binary64_2409` `flip-+_binary64_2439`
3×	`log-prod_binary64_2551` `div-inv_binary64_2462` `associate-/l*_binary64_2410`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `frac-2neg_binary64_2476` `rem-exp-log_binary64_2505` `rem-log-exp_binary64_2506`

Counts

4 → 101

Calls

4 calls:

9.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
8.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series235.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
64.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
52.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
19.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify81.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5736	1915

prune83.0ms (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 (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64_2465`
27×	`times-frac_binary64_2471`
26×	`add-sqr-sqrt_binary64_2487`
24×	`add-cube-cbrt_binary64_2500`
20×	`distribute-lft-out_binary64_2416`
19×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
9×	`associate-/r*_binary64_2409` `add-cbrt-cube_binary64_2501`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504`
5×	`add-exp-log_binary64_2503` `exp-prod_binary64_2517`
4×	`sum-cubes_binary64_2466` `pow-pow_binary64_2537`
3×	`associate-r_binary64_2405` `pow-unpow_binary64_2542` `associate-/l_binary64_2410` `associate-l*_binary64_2406`
2×	`associate-/r/_binary64_2411`
1×	`flip3-+_binary64_2468` `rem-cube-cbrt_binary64_2488` `unpow3_binary64_2531` `*-commutative_binary64_2396` `flip--_binary64_2440` `flip-+_binary64_2439` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `pow-exp_binary64_2533` `sub-neg_binary64_2458` `unswap-sqr_binary64_2433` `cube-mult_binary64_2495` `pow-to-exp_binary64_2534` `cancel-sign-sub-inv_binary64_2431` `div-exp_binary64_2516` `div-inv_binary64_2462` `sqr-pow_binary64_2437` `diff-log_binary64_2557` `prod-exp_binary64_2514` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `flip3--_binary64_2469` `distribute-rgt-out--_binary64_2419` `pow-prod-up_binary64_2535` `cbrt-unprod_binary64_2498`

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)))
8.0ms	(*.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(pow.f64 (exp.f64 a) 3)

series211.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
48.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))
27.0ms	(*.f64 (exp.f64 a) (exp.f64 b))
22.0ms	(pow.f64 (exp.f64 a) 3)

simplify79.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5050	2121

prune161.0ms (7.7%)

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

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (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)

regimes97.0ms (4.6%)

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%)

sample627.0ms (30%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	128	valid
17.0ms	685×	body	128	overflowed

Compiler

Compiled 232 to 143 computations (38.4% saved)

Details

analyze69.0ms (3.3%)

sample20.0ms (1%)

simplify93.0ms (4.5%)

prune3.0ms (0.1%)

localize5.0ms (0.3%)

rewrite16.0ms (0.8%)

series82.0ms (3.9%)

simplify66.0ms (3.2%)

prune41.0ms (2%)

localize8.0ms (0.4%)

rewrite37.0ms (1.8%)

series235.0ms (11.2%)

simplify81.0ms (3.9%)

prune83.0ms (4%)

localize15.0ms (0.7%)

rewrite48.0ms (2.3%)

series211.0ms (10.1%)

simplify79.0ms (3.8%)

prune161.0ms (7.7%)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.3%)

prune1.0ms (0%)

regimes97.0ms (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample627.0ms (30%)

Profiling