Details

analyze324.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4783	13
1	4783	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify175.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	4783	13
1	4783	13

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

0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_3488`
15×	`times-frac_binary64_3494`
11×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523`
5×	`associate-/r*_binary64_3432`
4×	`distribute-lft-out_binary64_3439` `cosh-undef_binary64_3682`
3×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `associate-/l*_binary64_3433`
2×	`associate-/r/_binary64_3434`
1×	`clear-num_binary64_3487` `flip-+_binary64_3462` `flip3-+_binary64_3491` `frac-2neg_binary64_3499` `add-log-exp_binary64_3527` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `pow1_binary64_3549` `div-inv_binary64_3485`

Counts

1 → 37

Calls

1 calls:

12.0ms

(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series89.0ms (2.2%)

Counts

1 → 6

Calls

1 calls:

89.0ms

(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 74 to 68 computations (8.1% saved)

simplify108.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4876	778
1	4876	778

prune70.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Compiler

Compiled 658 to 288 computations (56.2% saved)

localize31.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_3519`
10×	`*-un-lft-identity_binary64_3488`
8×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523`
4×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `pow1/3_binary64_3570` `pow1_binary64_3549`
2×	`cbrt-div_binary64_3520`
1×	`distribute-lft-out_binary64_3439` `flip-+_binary64_3462` `cosh-undef_binary64_3682` `flip3-+_binary64_3491`

Counts

4 → 48

Calls

4 calls:

9.0ms	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(cbrt.f64 2)
2.0ms	(cbrt.f64 2)
2.0ms	(cbrt.f64 2)

series214.0ms (5.3%)

Counts

4 → 6

Calls

4 calls:

214.0ms	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

Compiler

Compiled 306 to 218 computations (28.8% saved)

simplify172.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4780	562
1	4780	562

prune134.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	54	3	57

Error

Counts

57 → 3

Compiler

Compiled 1981 to 768 computations (61.2% saved)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.7b	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.7b	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.7b	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite83.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_3519`
35×	`*-un-lft-identity_binary64_3488`
23×	`add-sqr-sqrt_binary64_3510`
18×	`cbrt-div_binary64_3520`
15×	`add-cube-cbrt_binary64_3523`
11×	`pow1_binary64_3549`
10×	`swap-sqr_binary64_3455`
9×	`distribute-lft-out_binary64_3439` `flip-+_binary64_3462` `flip3-+_binary64_3491` `pow1/3_binary64_3570`
8×	`associate-l_binary64_3429` `associate-r_binary64_3428`
7×	`cosh-undef_binary64_3682`
6×	`add-exp-log_binary64_3526`
4×	`unswap-sqr_binary64_3456` `add-cbrt-cube_binary64_3524` `frac-times_binary64_3498` `add-log-exp_binary64_3527`
2×	`associate-l/_binary64_3431` `pow-prod-up_binary64_3558` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`cbrt-unprod_binary64_3521` `pow2_binary64_3569` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

4 → 101

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
10.0ms	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series999.0ms (24.7%)

Counts

4 → 24

Calls

4 calls:

309.0ms	(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
242.0ms	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
240.0ms	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
207.0ms	(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 1072 to 776 computations (27.6% saved)

simplify210.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	4769	2452
1	4769	2452

prune273.0ms (6.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	125	3	128

Error

Counts

128 → 3

Compiler

Compiled 4161 to 1512 computations (63.7% saved)

regimes129.0ms (3.2%)

Accuracy

Total 0.0b remaining (48.5%)

Threshold costs 0.0b (48.5%)

Compiler

Compiled 490 to 327 computations (33.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms (0%)

sample931.0ms (23%)

Algorithm

1×

intervals

Results

454.0ms

8000×

body

128

valid

Compiler

Compiled 123 to 84 computations (31.7% saved)

Details

analyze324.0ms (8%)

sample21.0ms (0.5%)

simplify175.0ms (4.3%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite16.0ms (0.4%)

series89.0ms (2.2%)

simplify108.0ms (2.7%)

prune70.0ms (1.7%)

localize31.0ms (0.8%)

rewrite26.0ms (0.6%)

series214.0ms (5.3%)

simplify172.0ms (4.2%)

prune134.0ms (3.3%)

localize25.0ms (0.6%)

rewrite83.0ms (2%)

series999.0ms (24.7%)

simplify210.0ms (5.2%)

prune273.0ms (6.7%)

regimes129.0ms (3.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample931.0ms (23%)

Profiling