Details

analyze337.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1432	36
1	1432	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 29 to 29 computations (0% saved)

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	497	18
1	497	18

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

0.2b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.6b	(/.f64 1 (*.f64 x 9))

rewrite183.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64_9323` `*-un-lft-identity_binary64_9285`
21×	`add-sqr-sqrt_binary64_9307`
16×	`add-cbrt-cube_binary64_9321`
15×	`add-cube-cbrt_binary64_9320`
14×	`cancel-sign-sub-inv_binary64_9251`
12×	`times-frac_binary64_9291`
9×	`pow1_binary64_9346` `add-log-exp_binary64_9324`
8×	`associate--l+_binary64_9222`
6×	`div-exp_binary64_9336` `associate-/l_binary64_9230` `associate-r*_binary64_9225`
5×	`prod-exp_binary64_9334` `div-inv_binary64_9282` `distribute-lft-out--_binary64_9237`
4×	`cbrt-undiv_binary64_9319` `sqrt-prod_binary64_9301`
3×	`cbrt-unprod_binary64_9318` `associate-l_binary64_9226` `diff-log_binary64_9377`
2×	`pow-prod-down_binary64_9356` `pow-flip_binary64_9359` `1-exp_binary64_9329` `rec-exp_binary64_9335` `frac-2neg_binary64_9296` `clear-num_binary64_9284` `associate-/r*_binary64_9229` `unswap-sqr_binary64_9253` `flip3--_binary64_9289` `frac-sub_binary64_9294` `flip--_binary64_9260` `sub-neg_binary64_9278`
1×	`inv-pow_binary64_9370` `*-commutative_binary64_9216` `difference-of-squares_binary64_9254` `associate--l-_binary64_9223`

Counts

4 → 105

Calls

4 calls:

14.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
9.0ms	(/.f64 1 (*.f64 x 9))
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))

Compiler

Compiled 2210 to 1614 computations (27% saved)

series248.0ms (3.1%)

Error

0.1b

Counts

4 → 21

Calls

4 calls:

116.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
79.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
19.0ms	(/.f64 1 (*.f64 x 9))
16.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 815 to 723 computations (11.3% saved)

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5162	1561

prune148.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	120	8	128

Error

0.0b

Counts

128 → 8

Compiler

Compiled 2217 to 1598 computations (27.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.2b	(/.f64 (/.f64 1 x) 9)
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))

rewrite320.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

147×	`times-frac_binary64_9291`
94×	`add-sqr-sqrt_binary64_9307`
93×	`*-un-lft-identity_binary64_9285`
88×	`add-cube-cbrt_binary64_9320`
50×	`cancel-sign-sub-inv_binary64_9251`
44×	`associate--l+_binary64_9222`
20×	`add-exp-log_binary64_9323`
16×	`add-cbrt-cube_binary64_9321` `associate-/l*_binary64_9230`
11×	`div-inv_binary64_9282`
9×	`add-log-exp_binary64_9324`
8×	`div-exp_binary64_9336`
6×	`pow1_binary64_9346` `associate-r_binary64_9225`
5×	`cbrt-undiv_binary64_9319`
4×	`sqrt-prod_binary64_9301` `associate-/r*_binary64_9229`
3×	`associate-l_binary64_9226` `diff-log_binary64_9377` `distribute-lft-out--_binary64_9237`
2×	`prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `frac-2neg_binary64_9296` `clear-num_binary64_9284` `flip3--_binary64_9289` `frac-sub_binary64_9294` `flip--_binary64_9260` `sub-neg_binary64_9278`
1×	`pow-prod-down_binary64_9356` `*-commutative_binary64_9216` `1-exp_binary64_9329` `rec-exp_binary64_9335` `associate-/l/_binary64_9232` `difference-of-squares_binary64_9254` `associate--l-_binary64_9223`

Counts

4 → 184

Calls

4 calls:

33.0ms	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
6.0ms	(/.f64 (/.f64 1 x) 9)
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))

Compiler

Compiled 4350 to 3228 computations (25.8% saved)

series255.0ms (3.2%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

126.0ms	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
80.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
18.0ms	(/.f64 (/.f64 1 x) 9)
16.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 815 to 723 computations (11.3% saved)

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5259	3146

prune224.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	204	9	213

Error

0.0b

Counts

213 → 9

Compiler

Compiled 3815 to 2682 computations (29.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 3 (/.f64 y (sqrt.f64 x)))
0.3b	(/.f64 y (sqrt.f64 x))
0.5b	(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))
0.6b	(/.f64 1 (*.f64 x 9))

rewrite1.2s (14.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

852×	`times-frac_binary64_9291`
416×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285`
156×	`sqrt-prod_binary64_9301`
100×	`associate-/r*_binary64_9229`
43×	`add-exp-log_binary64_9323`
25×	`add-cbrt-cube_binary64_9321`
24×	`div-inv_binary64_9282`
23×	`div-exp_binary64_9336`
12×	`cbrt-undiv_binary64_9319` `associate-/l*_binary64_9230`
8×	`pow1_binary64_9346`
6×	`associate-/r/_binary64_9231`
5×	`1-exp_binary64_9329` `rec-exp_binary64_9335`
4×	`add-log-exp_binary64_9324` `frac-2neg_binary64_9296` `clear-num_binary64_9284`
3×	`pow-flip_binary64_9359` `prod-exp_binary64_9334`
2×	`inv-pow_binary64_9370`
1×	`pow-prod-down_binary64_9356` `cbrt-unprod_binary64_9318`

Counts

4 → 485

Calls

4 calls:

22.0ms	(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))
8.0ms	(/.f64 3 (/.f64 y (sqrt.f64 x)))
4.0ms	(/.f64 1 (*.f64 x 9))
4.0ms	(/.f64 y (sqrt.f64 x))

Compiler

Compiled 14066 to 8965 computations (36.3% saved)

series256.0ms (3.2%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

78.0ms	(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))
71.0ms	(/.f64 y (sqrt.f64 x))
65.0ms	(/.f64 3 (/.f64 y (sqrt.f64 x)))
22.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 1085 to 952 computations (12.3% saved)

simplify192.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

506 → 506

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4932	10910
1	4932	10910

prune845.0ms (10.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	504	2	506
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	506	9	515

Error

Counts

515 → 9

Compiler

Compiled 12709 to 7772 computations (38.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 -1 (.f64 (sqrt.f64 x) (/.f64 -3 y))))
0.3b	(*.f64 (sqrt.f64 x) (/.f64 -3 y))
0.5b	(/.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 -3 y)))
0.6b	(/.f64 1 (*.f64 x 9))

rewrite207.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64_9307`
29×	`add-exp-log_binary64_9323`
28×	`*-un-lft-identity_binary64_9285`
23×	`add-cbrt-cube_binary64_9321` `times-frac_binary64_9291`
21×	`add-cube-cbrt_binary64_9320`
15×	`cancel-sign-sub-inv_binary64_9251`
13×	`associate-r_binary64_9225`
9×	`pow1_binary64_9346` `div-exp_binary64_9336` `add-log-exp_binary64_9324`
8×	`associate--l+_binary64_9222`
7×	`prod-exp_binary64_9334` `cbrt-undiv_binary64_9319`
6×	`div-inv_binary64_9282` `associate-/l_binary64_9230` `associate-l*_binary64_9226`
5×	`cbrt-unprod_binary64_9318` `sqrt-prod_binary64_9301` `distribute-lft-out--_binary64_9237`
4×	`unswap-sqr_binary64_9253`
3×	`associate-*r/_binary64_9227` `diff-log_binary64_9377`
2×	`pow-prod-down_binary64_9356` `pow-flip_binary64_9359` `1-exp_binary64_9329` `rec-exp_binary64_9335` `frac-2neg_binary64_9296` `clear-num_binary64_9284` `associate-/r*_binary64_9229` `associate-/r/_binary64_9231` `flip3--_binary64_9289` `frac-sub_binary64_9294` `flip--_binary64_9260` `sub-neg_binary64_9278`
1×	`inv-pow_binary64_9370` `*-commutative_binary64_9216` `difference-of-squares_binary64_9254` `associate--l-_binary64_9223`

Counts

4 → 124

Calls

4 calls:

15.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 -1 (.f64 (sqrt.f64 x) (/.f64 -3 y))))
12.0ms	(*.f64 (sqrt.f64 x) (/.f64 -3 y))
7.0ms	(/.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 -3 y)))
5.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 2948 to 2234 computations (24.2% saved)

series308.0ms (3.9%)

Error

Counts

4 → 24

Calls

4 calls:

116.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 -1 (.f64 (sqrt.f64 x) (/.f64 -3 y))))
84.0ms	(/.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 -3 y)))
68.0ms	(*.f64 (sqrt.f64 x) (/.f64 -3 y))
19.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 1021 to 907 computations (11.2% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4949	1964
1	4949	1964

prune154.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	148	9	157

Error

Counts

157 → 9

Compiler

Compiled 2688 to 1928 computations (28.3% saved)

regimes479.0ms (6%)

Accuracy

Total 0.2b remaining (99.5%)

Threshold costs 0.2b (99.5%)

Compiler

Compiled 5331 to 4723 computations (11.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	69	21
1	69	21

end0.0ms (0%)

sample2.3s (29.1%)

Algorithm

1×

intervals

Results

380.0ms	8000×	body	128	valid
4.0ms	89×	body	128	invalid

Compiler

Compiled 1795 to 1591 computations (11.4% saved)

Details

analyze337.0ms (4.3%)

sample22.0ms (0.3%)

simplify32.0ms (0.4%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite183.0ms (2.3%)

series248.0ms (3.1%)

simplify44.0ms (0.6%)

prune148.0ms (1.9%)

localize9.0ms (0.1%)

rewrite320.0ms (4%)

series255.0ms (3.2%)

simplify87.0ms (1.1%)

prune224.0ms (2.8%)

localize10.0ms (0.1%)

rewrite1.2s (14.5%)

series256.0ms (3.2%)

simplify192.0ms (2.4%)

prune845.0ms (10.7%)

localize11.0ms (0.1%)

rewrite207.0ms (2.6%)

series308.0ms (3.9%)

simplify78.0ms (1%)

prune154.0ms (1.9%)

regimes479.0ms (6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (29.1%)

Profiling