Details

analyze1.1s (17.7%)

Algorithm

1×

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
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	73×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify340.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	1582	13
1	1582	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 18 to 16 computations (11.1% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_13399`
12×	`*-un-lft-identity_binary64_13377` `cancel-sign-sub-inv_binary64_13343`
8×	`distribute-rgt-in_binary64_13327` `add-cube-cbrt_binary64_13412` `associate-+r+_binary64_13309` `distribute-lft-in_binary64_13326`
6×	`flip3--_binary64_13381` `flip--_binary64_13352`
5×	`associate-r_binary64_13317` `associate-l_binary64_13318`
4×	`pow1_binary64_13438` `frac-times_binary64_13387` `add-log-exp_binary64_13416` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413` `sub-neg_binary64_13370`
2×	`distribute-lft-out--_binary64_13329` `associate-l/_binary64_13320` `difference-of-squares_binary64_13346` `associate-r/_binary64_13319`
1×	`prod-exp_binary64_13426` `+-commutative_binary64_13307` `sum-log_binary64_13468` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `*-commutative_binary64_13308` `flip-+_binary64_13351` `flip3-+_binary64_13380`

Counts

2 → 57

Calls

2 calls:

21.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
10.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

series145.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

78.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
67.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify128.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4887	986
1	4887	986

prune91.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Error

Counts

64 → 6

Compiler

Compiled 1088 to 288 computations (73.5% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y))))
0.0b	(+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y)))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`associate-+r+_binary64_13309` `add-log-exp_binary64_13416`
6×	`*-un-lft-identity_binary64_13377` `cancel-sign-sub-inv_binary64_13343`
4×	`distribute-rgt-in_binary64_13327` `sum-log_binary64_13468` `add-cube-cbrt_binary64_13412` `associate-l/_binary64_13320` `add-sqr-sqrt_binary64_13399` `distribute-lft-in_binary64_13326` `flip3--_binary64_13381` `flip--_binary64_13352` `frac-add_binary64_13385` `associate-r/_binary64_13319`
2×	`+-commutative_binary64_13307` `pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413` `flip-+_binary64_13351` `sub-neg_binary64_13370` `flip3-+_binary64_13380`
1×	`distribute-lft-out_binary64_13328`

Counts

2 → 37

Calls

2 calls:

15.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y))))
10.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y)))

series168.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

85.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y)))
82.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y))))

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4984	1055
1	4984	1055

prune57.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	43	6	49

Error

Counts

49 → 6

Compiler

Compiled 1012 to 234 computations (76.9% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_13408`
37×	`add-sqr-sqrt_binary64_13399`
35×	`*-un-lft-identity_binary64_13377`
18×	`cbrt-div_binary64_13409`
15×	`add-cube-cbrt_binary64_13412`
11×	`pow1_binary64_13438`
10×	`swap-sqr_binary64_13344`
9×	`distribute-lft-out--_binary64_13329` `pow1/3_binary64_13459` `flip3--_binary64_13381` `flip--_binary64_13352`
8×	`associate-r_binary64_13317` `associate-l_binary64_13318`
7×	`difference-of-squares_binary64_13346`
6×	`add-exp-log_binary64_13415`
4×	`unswap-sqr_binary64_13345` `frac-times_binary64_13387` `add-log-exp_binary64_13416` `add-cbrt-cube_binary64_13413`
2×	`associate-l/_binary64_13320` `pow-prod-down_binary64_13448` `pow-sqr_binary64_13350` `pow-prod-up_binary64_13447` `associate-r/_binary64_13319`
1×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `pow-plus_binary64_13440` `*-commutative_binary64_13308` `pow2_binary64_13458`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
6.0ms	(cbrt.f64 (-.f64 y z))
5.0ms	(cbrt.f64 (-.f64 y z))
3.0ms	(cbrt.f64 (-.f64 y z))

series670.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt.f64 (-.f64 y z))
170.0ms	(cbrt.f64 (-.f64 y z))
161.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
149.0ms	(cbrt.f64 (-.f64 y z))

simplify145.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4931	1626
1	4931	1626

prune143.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Error

Counts

119 → 6

Compiler

Compiled 2917 to 706 computations (75.8% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
1.1b	(-.f64 (.f64 y y) (.f64 z z))
5.6b	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
21.3b	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

rewrite54.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_13377`
13×	`flip3--_binary64_13381` `flip--_binary64_13352`
12×	`add-sqr-sqrt_binary64_13399`
11×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
8×	`associate-/l/_binary64_13324` `add-cube-cbrt_binary64_13412` `frac-times_binary64_13387` `add-log-exp_binary64_13416`
6×	`pow1_binary64_13438`
5×	`associate-l_binary64_13318`
4×	`associate-r_binary64_13317` `associate-/r_binary64_13321` `associate-l/_binary64_13320` `times-frac_binary64_13383` `associate-*r/_binary64_13319`
3×	`difference-of-squares_binary64_13346` `distribute-lft-out_binary64_13328` `sub-neg_binary64_13370` `cancel-sign-sub-inv_binary64_13343`
2×	`prod-exp_binary64_13426` `distribute-rgt-in_binary64_13327` `cbrt-unprod_binary64_13410` `distribute-lft-in_binary64_13326` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411` `associate-/r/_binary64_13323` `flip-+_binary64_13351` `flip3-+_binary64_13380`
1×	`diff-log_binary64_13469` `+-commutative_binary64_13307` `div-inv_binary64_13374` `clear-num_binary64_13376` `sum-log_binary64_13468` `distribute-lft-out--_binary64_13329` `unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `frac-2neg_binary64_13388` `associate-/l_binary64_13322`

Counts

4 → 91

Calls

4 calls:

21.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
10.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
7.0ms	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))

series581.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

277.0ms	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
185.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
95.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
23.0ms	(-.f64 (.f64 y y) (.f64 z z))

simplify104.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4968	1922
1	4968	1922

prune128.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	0	2
Picked	1	0	1
Done	2	1	3
Total	106	3	109

Error

Counts

109 → 3

Compiler

Compiled 2265 to 503 computations (77.8% saved)

regimes452.0ms (7.6%)

Accuracy

Total 0.0b remaining (79.6%)

Threshold costs 0.0b (79.6%)

Compiler

Compiled 1724 to 1276 computations (26% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms (0%)

sample1.4s (23.8%)

Algorithm

1×

intervals

Results

370.0ms	8000×	body	128	valid
123.0ms	2633×	body	128	invalid

Compiler

Compiled 315 to 234 computations (25.7% saved)

Details

analyze1.1s (17.7%)

sample20.0ms (0.3%)

simplify340.0ms (5.7%)

prune4.0ms (0.1%)

localize13.0ms (0.2%)

rewrite40.0ms (0.7%)

series145.0ms (2.4%)

simplify128.0ms (2.1%)

prune91.0ms (1.5%)

localize10.0ms (0.2%)

rewrite32.0ms (0.5%)

series168.0ms (2.8%)

simplify95.0ms (1.6%)

prune57.0ms (1%)

localize24.0ms (0.4%)

rewrite37.0ms (0.6%)

series670.0ms (11.2%)

simplify145.0ms (2.4%)

prune143.0ms (2.4%)

localize22.0ms (0.4%)

rewrite54.0ms (0.9%)

series581.0ms (9.7%)

simplify104.0ms (1.7%)

prune128.0ms (2.1%)

regimes452.0ms (7.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (23.8%)

Profiling