Details

analyze327.0ms (9%)

Algorithm

1×

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	251×	body	128	valid
1.0ms	20×	body	128	invalid
0.0ms	4×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify166.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_7991` `add-sqr-sqrt_binary64_8013`
4×	`pow1_binary64_8052` `add-cbrt-cube_binary64_8027` `associate-r_binary64_7931` `add-cube-cbrt_binary64_8026` `add-log-exp_binary64_8030` `add-exp-log_binary64_8029`
3×	`associate-l_binary64_7932`
2×	`associate-+l+_binary64_7924` `flip-+_binary64_7965` `distribute-rgt-in_binary64_7941` `flip3-+_binary64_7994` `distribute-lft-in_binary64_7940` `associate-*r/_binary64_7933`
1×	`cbrt-unprod_binary64_8024` `*-commutative_binary64_7922` `+-commutative_binary64_7921` `prod-exp_binary64_8040` `distribute-lft-out_binary64_7942` `pow-prod-down_binary64_8062` `sum-log_binary64_8082` `unswap-sqr_binary64_7959`

Counts

2 → 36

Calls

2 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
7.0ms	(*.f64 x (+.f64 y z))

series108.0ms (3%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
54.0ms	(*.f64 x (+.f64 y z))

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4998	518
1	4998	518

prune66.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

Compiler

Compiled 1210 to 671 computations (44.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (+.f64 x 5))
0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_7991` `add-sqr-sqrt_binary64_8013`
4×	`pow1_binary64_8052` `add-cbrt-cube_binary64_8027` `associate-r_binary64_7931` `add-cube-cbrt_binary64_8026` `add-log-exp_binary64_8030` `add-exp-log_binary64_8029`
3×	`associate-l_binary64_7932`
2×	`flip-+_binary64_7965` `distribute-rgt-in_binary64_7941` `flip3-+_binary64_7994` `distribute-lft-in_binary64_7940` `associate-+r+_binary64_7923` `associate-*r/_binary64_7933`
1×	`cbrt-unprod_binary64_8024` `*-commutative_binary64_7922` `+-commutative_binary64_7921` `prod-exp_binary64_8040` `distribute-lft-out_binary64_7942` `pow-prod-down_binary64_8062` `sum-log_binary64_8082` `unswap-sqr_binary64_7959`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 z (+.f64 x 5))
5.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

series107.0ms (3%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
51.0ms	(*.f64 z (+.f64 x 5))

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5063	518

prune85.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	43	5	48

Merged error: 0b

Counts

48 → 5

Compiler

Compiled 1516 to 978 computations (35.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 5 5) (.f64 x 5))
0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))))
2.3b	(*.f64 z (+.f64 (pow.f64 x 3) 125))
11.6b	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))

rewrite53.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cbrt-cube_binary64_8027` `add-exp-log_binary64_8029`
10×	`*-un-lft-identity_binary64_7991` `add-sqr-sqrt_binary64_8013`
8×	`add-cube-cbrt_binary64_8026` `add-log-exp_binary64_8030`
6×	`pow1_binary64_8052`
4×	`associate-r_binary64_7931` `flip-+_binary64_7965` `flip3-+_binary64_7994` `associate-*r/_binary64_7933`
3×	`associate-l_binary64_7932` `associate-/r*_binary64_7935` `times-frac_binary64_7997`
2×	`cbrt-unprod_binary64_8024` `associate-/l/_binary64_7938` `cbrt-undiv_binary64_8025` `prod-exp_binary64_8040` `associate-/r/_binary64_7937` `div-exp_binary64_8042`
1×	`-commutative_binary64_7922` `cancel-sign-sub-inv_binary64_7957` `+-commutative_binary64_7921` `frac-2neg_binary64_8002` `flip--_binary64_7966` `clear-num_binary64_7990` `associate-/l_binary64_7936` `flip3--_binary64_7995` `distribute-rgt-out--_binary64_7945` `distribute-lft-out_binary64_7942` `pow-prod-down_binary64_8062` `diff-log_binary64_8083` `sum-log_binary64_8082` `distribute-rgt-in_binary64_7941` `distribute-lft-in_binary64_7940` `sub-neg_binary64_7984` `div-inv_binary64_7988` `unswap-sqr_binary64_7959`

Counts

4 → 72

Calls

4 calls:

18.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))
13.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))))
11.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
4.0ms	(-.f64 (.f64 5 5) (.f64 x 5))

series623.0ms (17.2%)

Counts

4 → 12

Calls

4 calls:

245.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))
216.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))))
119.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
43.0ms	(-.f64 (.f64 5 5) (.f64 x 5))

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4983	1632
1	4983	1632

prune117.0ms (3.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

Compiler

Compiled 2580 to 1699 computations (34.1% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 25 (.f64 x (-.f64 5 x))) (+.f64 (pow.f64 x 3) 125))))
0.0b	(*.f64 x (-.f64 5 x))
0.3b	(/.f64 z (/.f64 (-.f64 25 (*.f64 x (-.f64 5 x))) (+.f64 (pow.f64 x 3) 125)))
11.6b	(/.f64 (-.f64 25 (*.f64 x (-.f64 5 x))) (+.f64 (pow.f64 x 3) 125))

rewrite79.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64_7997`
102×	`*-un-lft-identity_binary64_7991`
72×	`add-sqr-sqrt_binary64_8013`
68×	`add-cube-cbrt_binary64_8026`
22×	`associate-/r*_binary64_7935`
16×	`distribute-lft-out_binary64_7942`
13×	`add-cbrt-cube_binary64_8027` `add-exp-log_binary64_8029`
11×	`associate-/r/_binary64_7937`
6×	`pow1_binary64_8052` `cancel-sign-sub-inv_binary64_7957` `flip-+_binary64_7965` `add-log-exp_binary64_8030` `associate-/l*_binary64_7936` `flip3-+_binary64_7994` `div-inv_binary64_7988`
5×	`associate-r_binary64_7931`
4×	`cbrt-undiv_binary64_8025` `distribute-rgt-in_binary64_7941` `distribute-lft-in_binary64_7940` `div-exp_binary64_8042`
3×	`associate-l_binary64_7932`
2×	`frac-2neg_binary64_8002` `flip--_binary64_7966` `associate-/l/_binary64_7938` `clear-num_binary64_7990` `flip3--_binary64_7995` `sub-neg_binary64_7984` `associate-*r/_binary64_7933`
1×	`cbrt-unprod_binary64_8024` `*-commutative_binary64_7922` `div-sub_binary64_7996` `+-commutative_binary64_7921` `prod-exp_binary64_8040` `pow-prod-down_binary64_8062` `distribute-lft-out--_binary64_7943` `difference-of-squares_binary64_7960` `sum-log_binary64_8082` `unswap-sqr_binary64_7959`

Counts

4 → 167

Calls

4 calls:

24.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 25 (.f64 x (-.f64 5 x))) (+.f64 (pow.f64 x 3) 125))))
14.0ms	(/.f64 z (/.f64 (-.f64 25 (*.f64 x (-.f64 5 x))) (+.f64 (pow.f64 x 3) 125)))
12.0ms	(/.f64 (-.f64 25 (*.f64 x (-.f64 5 x))) (+.f64 (pow.f64 x 3) 125))
8.0ms	(*.f64 x (-.f64 5 x))

series583.0ms (16.1%)

Counts

4 → 12

Calls

4 calls:

258.0ms	(/.f64 z (/.f64 (-.f64 25 (*.f64 x (-.f64 5 x))) (+.f64 (pow.f64 x 3) 125)))
223.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 25 (.f64 x (-.f64 5 x))) (+.f64 (pow.f64 x 3) 125))))
57.0ms	(*.f64 x (-.f64 5 x))
44.0ms	(/.f64 (-.f64 25 (*.f64 x (-.f64 5 x))) (+.f64 (pow.f64 x 3) 125))

simplify100.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5386	5400

prune290.0ms (8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	179	5	184

Merged error: 0b

Counts

184 → 5

Compiler

Compiled 5464 to 3667 computations (32.9% saved)

regimes43.0ms (1.2%)

Compiler: Compiled 315 to 243 computations (22.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample598.0ms (16.5%)

Algorithm

1×

intervals

Results

224.0ms	7712×	body	128	valid
17.0ms	644×	body	128	invalid
15.0ms	161×	body	1024	valid
6.0ms	80×	body	512	valid
2.0ms	47×	body	256	valid

Compiler

Compiled 131 to 103 computations (21.4% saved)

Details

analyze327.0ms (9%)

sample16.0ms (0.4%)

simplify166.0ms (4.6%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite17.0ms (0.5%)

series108.0ms (3%)

simplify70.0ms (1.9%)

prune66.0ms (1.8%)

localize6.0ms (0.2%)

rewrite14.0ms (0.4%)

series107.0ms (3%)

simplify72.0ms (2%)

prune85.0ms (2.4%)

localize14.0ms (0.4%)

rewrite53.0ms (1.5%)

series623.0ms (17.2%)

simplify42.0ms (1.2%)

prune117.0ms (3.2%)

localize17.0ms (0.5%)

rewrite79.0ms (2.2%)

series583.0ms (16.1%)

simplify100.0ms (2.8%)

prune290.0ms (8%)

regimes43.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample598.0ms (16.5%)

Profiling