Details

analyze965.0ms (15.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	154
1	171	154
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
8.0ms	189×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	49	22
1	49	22

prune3.0ms (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

34.1b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
19.8b	(/.f64 (.f64 z z) (.f64 t t))
21.4b	(/.f64 (.f64 x x) (.f64 y y))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
8×	`cbrt-unprod_binary64_20571` `prod-exp_binary64_20587` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
5×	`add-log-exp_binary64_20577` `*-un-lft-identity_binary64_20538`
3×	`pow1_binary64_20599` `add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
2×	`clear-num_binary64_20537` `associate-/l_binary64_20483` `frac-2neg_binary64_20549` `associate-/r_binary64_20482` `div-inv_binary64_20535` `times-frac_binary64_20544`
1×	`sum-log_binary64_20629` `+-commutative_binary64_20468` `flip3-+_binary64_20541` `flip-+_binary64_20512` `frac-add_binary64_20546` `distribute-lft-out_binary64_20489`

Counts

3 → 55

Calls

3 calls:

9.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

series123.0ms (2%)

Counts

3 → 9

Calls

3 calls:

81.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
21.0ms	(/.f64 (.f64 x x) (.f64 y y))
21.0ms	(/.f64 (.f64 z z) (.f64 t t))

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4968	879
1	4968	879

prune71.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	52	12	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	12	65

Error

3.9b

Counts

65 → 12

Compiler

Compiled 1339 to 358 computations (73.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
19.8b	(/.f64 (.f64 z z) (.f64 t t))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_20560`
41×	`times-frac_binary64_20544`
31×	`*-un-lft-identity_binary64_20538` `add-cube-cbrt_binary64_20573`
27×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
13×	`swap-sqr_binary64_20505` `associate-r_binary64_20478` `associate-l_binary64_20479`
10×	`pow1_binary64_20599`
8×	`cbrt-unprod_binary64_20571` `prod-exp_binary64_20587` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
5×	`add-log-exp_binary64_20577` `div-inv_binary64_20535`
4×	`unswap-sqr_binary64_20506`
3×	`frac-add_binary64_20546`
2×	`associate-l/_binary64_20481` `associate-r/_binary64_20480` `frac-times_binary64_20548`
1×	`clear-num_binary64_20537` `pow-sqr_binary64_20511` `pow-prod-down_binary64_20609` `associate-/l_binary64_20483` `sum-log_binary64_20629` `frac-2neg_binary64_20549` `pow-prod-up_binary64_20608` `+-commutative_binary64_20468` `flip3-+_binary64_20541` `-commutative_binary64_20469` `pow2_binary64_20619` `associate-/r*_binary64_20482` `pow-plus_binary64_20601` `flip-+_binary64_20512`

Counts

3 → 102

Calls

3 calls:

11.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
9.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

series127.0ms (2%)

Counts

3 → 9

Calls

3 calls:

82.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
24.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
21.0ms	(/.f64 (.f64 z z) (.f64 t t))

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5529	1430

prune109.0ms (1.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	97	14	111
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	106	17	123

Error

0.1b

Counts

123 → 17

Compiler

Compiled 2356 to 682 computations (71.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
0.3b	(*.f64 (/.f64 z t) (/.f64 z t))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`add-sqr-sqrt_binary64_20560`
80×	`times-frac_binary64_20544`
59×	`*-un-lft-identity_binary64_20538` `add-cube-cbrt_binary64_20573`
27×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
26×	`swap-sqr_binary64_20505` `associate-r_binary64_20478` `associate-l_binary64_20479`
17×	`pow1_binary64_20599`
9×	`frac-add_binary64_20546`
8×	`associate-l/_binary64_20481` `cbrt-unprod_binary64_20571` `associate-r/_binary64_20480` `prod-exp_binary64_20587` `unswap-sqr_binary64_20506` `div-inv_binary64_20535` `div-exp_binary64_20589` `frac-times_binary64_20548` `cbrt-undiv_binary64_20572`
5×	`add-log-exp_binary64_20577`
2×	`pow-sqr_binary64_20511` `pow-prod-down_binary64_20609` `pow-prod-up_binary64_20608` `*-commutative_binary64_20469` `pow2_binary64_20619` `pow-plus_binary64_20601`
1×	`sum-log_binary64_20629` `+-commutative_binary64_20468` `flip3-+_binary64_20541` `flip-+_binary64_20512`

Counts

3 → 154

Calls

3 calls:

12.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
11.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
11.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

series125.0ms (2%)

Counts

3 → 9

Calls

3 calls:

84.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
20.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
20.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5055	2205

prune152.0ms (2.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	152	11	163
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	159	21	180

Error

0.0b

Counts

180 → 21

Compiler

Compiled 3561 to 986 computations (72.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
0.7b	(pow.f64 (cbrt.f64 (/.f64 z t)) 5)
10.8b	(cbrt.f64 (/.f64 z t))
10.8b	(cbrt.f64 (/.f64 z t))

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`times-frac_binary64_20544` `add-sqr-sqrt_binary64_20560`
55×	`*-un-lft-identity_binary64_20538` `add-cube-cbrt_binary64_20573`
39×	`cbrt-prod_binary64_20569`
17×	`add-exp-log_binary64_20576`
16×	`add-cbrt-cube_binary64_20574` `unpow-prod-down_binary64_20617`
13×	`swap-sqr_binary64_20505` `associate-r_binary64_20478` `associate-l_binary64_20479`
12×	`pow1_binary64_20599`
7×	`div-inv_binary64_20535`
4×	`cbrt-unprod_binary64_20571` `add-log-exp_binary64_20577` `prod-exp_binary64_20587` `unswap-sqr_binary64_20506` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
3×	`pow1/3_binary64_20620` `pow-unpow_binary64_20615`
2×	`cbrt-div_binary64_20570` `pow-pow_binary64_20610`
1×	`associate-l/_binary64_20481` `pow-to-exp_binary64_20607` `associate-r/_binary64_20480` `pow-sqr_binary64_20511` `pow-prod-down_binary64_20609` `sqr-pow_binary64_20510` `pow-prod-up_binary64_20608` `*-commutative_binary64_20469` `pow2_binary64_20619` `pow-plus_binary64_20601` `pow-exp_binary64_20606` `frac-times_binary64_20548`

Counts

4 → 142

Calls

4 calls:

14.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
5.0ms	(pow.f64 (cbrt.f64 (/.f64 z t)) 5)
2.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))

series252.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(pow.f64 (cbrt.f64 (/.f64 z t)) 5)
55.0ms	(cbrt.f64 (/.f64 z t))
53.0ms	(cbrt.f64 (/.f64 z t))
22.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5182	1983

prune336.0ms (5.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	2	18	20
Picked	0	1	1
Done	0	0	0
Total	153	22	175

Error

Counts

175 → 22

Compiler

Compiled 3671 to 1082 computations (70.5% saved)

regimes1.3s (21.7%)

Accuracy

Total 0.4b remaining (93.5%)

Threshold costs 0.4b (93.5%)

Compiler

Compiled 17701 to 11930 computations (32.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

end0.0ms (0%)

sample2.1s (33.2%)

Algorithm

1×

intervals

Results

345.0ms	8000×	body	128	valid
256.0ms	6005×	body	128	invalid

Compiler

Compiled 1425 to 961 computations (32.6% saved)

Details

analyze965.0ms (15.5%)

sample33.0ms (0.5%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize14.0ms (0.2%)

rewrite26.0ms (0.4%)

series123.0ms (2%)

simplify69.0ms (1.1%)

prune71.0ms (1.1%)

localize9.0ms (0.1%)

rewrite35.0ms (0.6%)

series127.0ms (2%)

simplify61.0ms (1%)

prune109.0ms (1.7%)

localize8.0ms (0.1%)

rewrite50.0ms (0.8%)

series125.0ms (2%)

simplify96.0ms (1.5%)

prune152.0ms (2.5%)

localize10.0ms (0.2%)

rewrite37.0ms (0.6%)

series252.0ms (4.1%)

simplify85.0ms (1.4%)

prune336.0ms (5.4%)

regimes1.3s (21.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (33.2%)

Profiling