Details

analyze177.0ms (3.9%)

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify203.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	682	18
1	682	18

prune2.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_11431`
9×	`add-sqr-sqrt_binary64_11453` `pow1_binary64_11492`
8×	`distribute-lft-out_binary64_11382` `add-log-exp_binary64_11470`
7×	`associate-r_binary64_11371` `add-cube-cbrt_binary64_11466`
5×	`add-cbrt-cube_binary64_11467` `associate-+r+_binary64_11363` `add-exp-log_binary64_11469`
4×	`associate-+l+_binary64_11364` `distribute-lft-out--_binary64_11383` `log-pow_binary64_11520`
3×	`cancel-sign-sub-inv_binary64_11397` `log-prod_binary64_11517` `sum-log_binary64_11522` `flip3-+_binary64_11434` `flip-+_binary64_11405` `associate-l_binary64_11372`
2×	`distribute-lft-in_binary64_11380` `+-commutative_binary64_11361` `associate-*r/_binary64_11373` `distribute-rgt-in_binary64_11381`
1×	`cbrt-unprod_binary64_11464` `unswap-sqr_binary64_11399` `sub-neg_binary64_11424` `*-commutative_binary64_11362` `associate-+l-_binary64_11366` `prod-exp_binary64_11480` `diff-log_binary64_11523` `pow-prod-down_binary64_11502`

Counts

3 → 63

Calls

3 calls:

12.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series319.0ms (7%)

Counts

3 → 9

Calls

3 calls:

118.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
109.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
92.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4963	1057
1	4963	1057

prune146.0ms (3.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

Compiler

Compiled 2609 to 1843 computations (29.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
0.0b	(*.f64 y (-.f64 1 z))
0.1b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
0.3b	(*.f64 y (log.f64 z))

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_11453`
19×	`*-un-lft-identity_binary64_11431`
16×	`add-cube-cbrt_binary64_11466`
14×	`distribute-lft-in_binary64_11380` `distribute-rgt-in_binary64_11381`
12×	`cancel-sign-sub-inv_binary64_11397` `log-prod_binary64_11517`
11×	`add-log-exp_binary64_11470`
10×	`associate-r_binary64_11371`
9×	`pow1_binary64_11492`
8×	`associate-+l+_binary64_11364` `add-cbrt-cube_binary64_11467` `add-exp-log_binary64_11469`
7×	`associate-+r+_binary64_11363`
6×	`associate-l_binary64_11372`
4×	`sub-neg_binary64_11424` `sum-log_binary64_11522`
2×	`cbrt-unprod_binary64_11464` `+-commutative_binary64_11361` `difference-of-squares_binary64_11400` `associate-r/_binary64_11373` `unswap-sqr_binary64_11399` `-commutative_binary64_11362` `prod-exp_binary64_11480` `flip3-+_binary64_11434` `flip-+_binary64_11405` `pow-prod-down_binary64_11502`
1×	`distribute-lft-out_binary64_11382` `distribute-lft-out--_binary64_11383` `flip--_binary64_11406` `log-pow_binary64_11520` `flip3--_binary64_11435`

Counts

4 → 95

Calls

4 calls:

10.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
10.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
9.0ms	(*.f64 y (-.f64 1 z))
5.0ms	(*.f64 y (log.f64 z))

series314.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
89.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
62.0ms	(*.f64 y (log.f64 z))
48.0ms	(*.f64 y (-.f64 1 z))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4997	1378
1	4997	1378

prune129.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	107	5	112

Merged error: 0b

Counts

112 → 5

Compiler

Compiled 2598 to 1524 computations (41.3% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
0.2b	(*.f64 (log.f64 (cbrt.f64 z)) y)
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_11453`
10×	`add-cube-cbrt_binary64_11466` `*-un-lft-identity_binary64_11431`
9×	`pow1_binary64_11492`
8×	`add-cbrt-cube_binary64_11467` `add-exp-log_binary64_11469` `associate-l_binary64_11372`
6×	`associate-r_binary64_11371` `cbrt-prod_binary64_11462`
4×	`add-log-exp_binary64_11470`
3×	`pow1/3_binary64_11513`
2×	`cbrt-unprod_binary64_11464` `associate-r/_binary64_11373` `unswap-sqr_binary64_11399` `-commutative_binary64_11362` `prod-exp_binary64_11480` `pow-prod-down_binary64_11502` `log-pow_binary64_11520`
1×	`distribute-lft-in_binary64_11380` `distribute-rgt-in_binary64_11381` `flip3-+_binary64_11434` `flip-+_binary64_11405`

Counts

4 → 64

Calls

4 calls:

11.0ms	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
5.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series735.0ms (16.2%)

Counts

4 → 12

Calls

4 calls:

253.0ms	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
168.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
160.0ms	(cbrt.f64 z)
153.0ms	(cbrt.f64 z)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5004	855

prune87.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	76	5	81

Merged error: 0b

Counts

81 → 5

Compiler

Compiled 2004 to 1068 computations (46.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 1 z) (-.f64 1 z))
0.5b	(*.f64 (log.f64 z) (log.f64 z))
4.0b	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
7.3b	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))

rewrite83.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64_11431`
46×	`add-sqr-sqrt_binary64_11453`
30×	`pow1_binary64_11492`
25×	`distribute-lft-in_binary64_11380` `distribute-rgt-in_binary64_11381`
24×	`add-cube-cbrt_binary64_11466`
20×	`cancel-sign-sub-inv_binary64_11397`
18×	`distribute-lft-out--_binary64_11383`
16×	`associate--l+_binary64_11368`
15×	`add-cbrt-cube_binary64_11467` `add-exp-log_binary64_11469`
14×	`associate-r_binary64_11371` `swap-sqr_binary64_11398`
13×	`associate-l_binary64_11372`
11×	`difference-of-squares_binary64_11400`
10×	`log-pow_binary64_11520`
9×	`flip--_binary64_11406` `flip3--_binary64_11435`
8×	`associate-/r*_binary64_11375` `times-frac_binary64_11437` `sub-neg_binary64_11424`
6×	`associate-*r/_binary64_11373` `log-prod_binary64_11517`
4×	`cbrt-unprod_binary64_11464` `prod-exp_binary64_11480` `frac-times_binary64_11441` `add-log-exp_binary64_11470`
3×	`unswap-sqr_binary64_11399` `*-commutative_binary64_11362` `pow-prod-down_binary64_11502`
2×	`pow2_binary64_11512` `pow-sqr_binary64_11404` `associate-*l/_binary64_11374` `associate-/l/_binary64_11378` `pow-prod-up_binary64_11501` `associate-/r/_binary64_11377` `cbrt-undiv_binary64_11465` `div-exp_binary64_11482` `pow-plus_binary64_11494`
1×	`associate-/l*_binary64_11376` `frac-2neg_binary64_11442` `clear-num_binary64_11430` `div-inv_binary64_11428`

Counts

4 → 164

Calls

4 calls:

26.0ms	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))
17.0ms	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
13.0ms	(*.f64 (-.f64 1 z) (-.f64 1 z))
6.0ms	(*.f64 (log.f64 z) (log.f64 z))

series754.0ms (16.6%)

Counts

4 → 12

Calls

4 calls:

473.0ms	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))
145.0ms	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
119.0ms	(*.f64 (log.f64 z) (log.f64 z))
17.0ms	(*.f64 (-.f64 1 z) (-.f64 1 z))

simplify103.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5048	3003

prune263.0ms (5.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	176	5	181

Merged error: 0b

Counts

181 → 5

Compiler

Compiled 5422 to 3274 computations (39.6% saved)

regimes110.0ms (2.4%)

Compiler: Compiled 883 to 689 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample743.0ms (16.4%)

Algorithm

1×

intervals

Results

383.0ms	8000×	body	128	valid
13.0ms	284×	body	128	invalid
3.0ms	77×	body	128	nan

Compiler

Compiled 154 to 123 computations (20.1% saved)

Details

analyze177.0ms (3.9%)

sample21.0ms (0.5%)

simplify203.0ms (4.5%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite34.0ms (0.7%)

series319.0ms (7%)

simplify73.0ms (1.6%)

prune146.0ms (3.2%)

localize11.0ms (0.2%)

rewrite42.0ms (0.9%)

series314.0ms (6.9%)

simplify62.0ms (1.4%)

prune129.0ms (2.8%)

localize17.0ms (0.4%)

rewrite25.0ms (0.5%)

series735.0ms (16.2%)

simplify61.0ms (1.3%)

prune87.0ms (1.9%)

localize14.0ms (0.3%)

rewrite83.0ms (1.8%)

series754.0ms (16.6%)

simplify103.0ms (2.3%)

prune263.0ms (5.8%)

regimes110.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample743.0ms (16.4%)

Profiling