Details

analyze621.0ms (16.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5099	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample28.0ms (0.8%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	32×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify199.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (193.0ms)

Iter	Nodes	Cost
0	4896	13
1	4896	13

prune7.0ms (0.2%)

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 → 2

Compiler

Compiled 31 to 30 computations (3.2% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite57.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_8284`
13×	`-un-lft-identity_binary64_8262` `associate-l*_binary64_8203`
11×	`add-cube-cbrt_binary64_8297`
10×	`times-frac_binary64_8268`
6×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `cancel-sign-sub-inv_binary64_8228`
5×	`associate-r_binary64_8202`
4×	`distribute-rgt-in_binary64_8212` `distribute-lft-in_binary64_8211`
3×	`pow1_binary64_8323`
2×	`prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `flip3--_binary64_8266` `frac-times_binary64_8272` `flip--_binary64_8237` `unswap-sqr_binary64_8230` `sub-neg_binary64_8255` `associate-*r/_binary64_8204`
1×	`pow-prod-down_binary64_8333` `div-exp_binary64_8313` `add-log-exp_binary64_8301` `cbrt-undiv_binary64_8296` `associate-l/_binary64_8205` `div-inv_binary64_8259` `difference-of-squares_binary64_8231` `distribute-lft-out--_binary64_8214` `-commutative_binary64_8193`

Counts

1 → 46

Calls

1 calls:

11.0ms

(*.f64 (/.f64 4 y) (-.f64 x z))

Compiler

Compiled 779 to 456 computations (41.5% saved)

series195.0ms (5.3%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

183.0ms

(*.f64 (/.f64 4 y) (-.f64 x z))

Compiler

Compiled 417 to 353 computations (15.3% saved)

simplify93.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4903	750
1	4903	750

prune49.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	61	2	63

Error

0.0b

Counts

63 → 2

Compiler

Compiled 819 to 456 computations (44.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 4 (/.f64 (-.f64 x z) y))
0.0b	(/.f64 (-.f64 x z) y)

rewrite82.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_8284`
36×	`*-un-lft-identity_binary64_8262`
31×	`times-frac_binary64_8268`
22×	`add-cube-cbrt_binary64_8297`
19×	`associate-r_binary64_8202`
9×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
7×	`difference-of-squares_binary64_8231` `distribute-lft-out--_binary64_8214`
5×	`associate-/l*_binary64_8207`
4×	`pow1_binary64_8323`
3×	`associate-/r_binary64_8206` `associate-l*_binary64_8203`
2×	`div-exp_binary64_8313` `add-log-exp_binary64_8301` `cbrt-undiv_binary64_8296` `div-inv_binary64_8259` `associate-/l/_binary64_8209` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `unswap-sqr_binary64_8230`
1×	`frac-2neg_binary64_8273` `div-sub_binary64_8267` `clear-num_binary64_8261` `flip3--_binary64_8266` `flip--_binary64_8237` `pow-prod-down_binary64_8333` `associate-r/_binary64_8204` `-commutative_binary64_8193`

Counts

2 → 76

Calls

2 calls:

10.0ms	(*.f64 4 (/.f64 (-.f64 x z) y))
6.0ms	(/.f64 (-.f64 x z) y)

Compiler

Compiled 1285 to 551 computations (57.1% saved)

series305.0ms (8.2%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

166.0ms	(*.f64 4 (/.f64 (-.f64 x z) y))
120.0ms	(/.f64 (-.f64 x z) y)

Compiler

Compiled 798 to 656 computations (17.8% saved)

simplify99.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4955	1237
1	4955	1237

prune84.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	106	2	108

Error

Counts

108 → 2

Compiler

Compiled 1442 to 629 computations (56.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite132.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_8293`
23×	`add-sqr-sqrt_binary64_8284`
15×	`add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
11×	`pow1_binary64_8323`
9×	`pow1/3_binary64_8344`
6×	`add-exp-log_binary64_8300` `swap-sqr_binary64_8229` `associate-l_binary64_8203` `associate-r_binary64_8202`
4×	`add-log-exp_binary64_8301` `add-cbrt-cube_binary64_8298` `unswap-sqr_binary64_8230`
2×	`pow-prod-down_binary64_8333` `pow-prod-up_binary64_8332` `pow-sqr_binary64_8235`
1×	`pow2_binary64_8343` `pow-plus_binary64_8325` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `*-commutative_binary64_8193`

Counts

4 → 73

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

Compiler

Compiled 1670 to 685 computations (59% saved)

series391.0ms (10.6%)

Error

Counts

4 → 12

Calls

4 calls:

105.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
101.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)

Compiler

Compiled 735 to 580 computations (21.1% saved)

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune97.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Error

Counts

87 → 2

Compiler

Compiled 1743 to 824 computations (52.7% saved)

regimes157.0ms (4.3%)

Accuracy

Total 0.0b remaining (71.7%)

Threshold costs 0.0b (71.7%)

Compiler

Compiled 1069 to 912 computations (14.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample990.0ms (26.8%)

Algorithm

1×

intervals

Results

361.0ms	8000×	body	128	valid
43.0ms	1000×	body	128	invalid

Compiler

Compiled 226 to 195 computations (13.7% saved)

Details

analyze621.0ms (16.8%)

sample28.0ms (0.8%)

simplify199.0ms (5.4%)

prune7.0ms (0.2%)

localize12.0ms (0.3%)

rewrite57.0ms (1.5%)

series195.0ms (5.3%)

simplify93.0ms (2.5%)

prune49.0ms (1.3%)

localize6.0ms (0.2%)

rewrite82.0ms (2.2%)

series305.0ms (8.2%)

simplify99.0ms (2.7%)

prune84.0ms (2.3%)

localize13.0ms (0.3%)

rewrite132.0ms (3.6%)

series391.0ms (10.6%)

simplify81.0ms (2.2%)

prune97.0ms (2.6%)

regimes157.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample990.0ms (26.8%)

Profiling