Details

analyze179.0ms (4%)

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)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid
0.0ms	5×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify203.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	682	18
1	682	18

prune3.0ms (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: 0.1b

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))
0.1b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_11087`
9×	`add-sqr-sqrt_binary64_11109` `pow1_binary64_11148`
8×	`add-log-exp_binary64_11126` `distribute-lft-out_binary64_11038`
7×	`add-cube-cbrt_binary64_11122` `associate-r_binary64_11027`
5×	`add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125` `associate-+r+_binary64_11019`
4×	`distribute-lft-out--_binary64_11039` `log-pow_binary64_11176` `associate-+l+_binary64_11020`
3×	`log-prod_binary64_11173` `associate-l_binary64_11028` `flip-+_binary64_11061` `sum-log_binary64_11178` `flip3-+_binary64_11090` `cancel-sign-sub-inv_binary64_11053`
2×	`associate-*r/_binary64_11029` `distribute-rgt-in_binary64_11037` `+-commutative_binary64_11017` `distribute-lft-in_binary64_11036`
1×	`diff-log_binary64_11179` `pow-prod-down_binary64_11158` `cbrt-unprod_binary64_11120` `sub-neg_binary64_11080` `unswap-sqr_binary64_11055` `prod-exp_binary64_11136` `*-commutative_binary64_11018` `associate-+l-_binary64_11022`

Counts

3 → 63

Calls

3 calls:

13.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
10.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

series320.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

115.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
110.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
95.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4963	1057
1	4963	1057

prune163.0ms (3.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

Compiler

Compiled 2859 to 2024 computations (29.2% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.1b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_11087`
12×	`add-sqr-sqrt_binary64_11109`
10×	`add-log-exp_binary64_11126` `add-cube-cbrt_binary64_11122`
9×	`cbrt-prod_binary64_11118`
8×	`pow1_binary64_11148`
6×	`log-prod_binary64_11173` `add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125` `associate-+r+_binary64_11019`
5×	`sum-log_binary64_11178` `associate-r_binary64_11027`
4×	`distribute-lft-out_binary64_11038`
3×	`associate-l_binary64_11028`
2×	`flip-+_binary64_11061` `associate-*r/_binary64_11029` `flip3-+_binary64_11090` `log-pow_binary64_11176` `pow1/3_binary64_11169` `associate-+l-_binary64_11022`
1×	`diff-log_binary64_11179` `pow-prod-down_binary64_11158` `cbrt-unprod_binary64_11120` `distribute-rgt-in_binary64_11037` `+-commutative_binary64_11017` `distribute-lft-in_binary64_11036` `unswap-sqr_binary64_11055` `prod-exp_binary64_11136` `*-commutative_binary64_11018` `associate-+l+_binary64_11020`

Counts

4 → 69

Calls

4 calls:

14.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
12.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series916.0ms (20.6%)

Counts

4 → 12

Calls

4 calls:

344.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
252.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
167.0ms	(cbrt.f64 z)
153.0ms	(cbrt.f64 z)

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4892	980
1	4892	980

prune138.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	80	7	87

Merged error: 0b

Counts

87 → 7

Compiler

Compiled 2616 to 1621 computations (38% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_11087`
14×	`add-sqr-sqrt_binary64_11109`
12×	`add-log-exp_binary64_11126`
8×	`add-cube-cbrt_binary64_11122` `pow1_binary64_11148`
6×	`add-cbrt-cube_binary64_11123` `associate-l_binary64_11028` `add-exp-log_binary64_11125`
4×	`distribute-lft-out--_binary64_11039` `sum-log_binary64_11178`
3×	`log-prod_binary64_11173` `associate--l+_binary64_11024` `associate-r_binary64_11027` `cancel-sign-sub-inv_binary64_11053`
2×	`difference-of-squares_binary64_11056` `flip--_binary64_11062` `flip-+_binary64_11061` `associate-*l/_binary64_11030` `+-commutative_binary64_11017` `flip3--_binary64_11091` `flip3-+_binary64_11090` `log-pow_binary64_11176`
1×	`diff-log_binary64_11179` `distribute-rgt-out_binary64_11040` `pow-prod-down_binary64_11158` `cbrt-unprod_binary64_11120` `sub-neg_binary64_11080` `unswap-sqr_binary64_11055` `distribute-rgt1-in_binary64_11043` `prod-exp_binary64_11136` `*-commutative_binary64_11018` `associate-+r+_binary64_11019`

Counts

4 → 69

Calls

4 calls:

8.0ms	(*.f64 (-.f64 (log.f64 z) z) y)
7.0ms	(+.f64 (.f64 x 1/2) (+.f64 y (.f64 (-.f64 (log.f64 z) z) y)))
5.0ms	(-.f64 (log.f64 z) z)
4.0ms	(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))

series433.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

133.0ms	(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
115.0ms	(-.f64 (log.f64 z) z)
95.0ms	(+.f64 (.f64 x 1/2) (+.f64 y (.f64 (-.f64 (log.f64 z) z) y)))
89.0ms	(*.f64 (-.f64 (log.f64 z) z) y)

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5006	1142

prune101.0ms (2.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	81	7	88

Merged error: 0b

Counts

88 → 7

Compiler

Compiled 2038 to 998 computations (51% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (cbrt.f64 (-.f64 (log.f64 z) z)))
0.5b	(cbrt.f64 (-.f64 (log.f64 z) z))
0.5b	(cbrt.f64 (-.f64 (log.f64 z) z))
0.5b	(cbrt.f64 (-.f64 (log.f64 z) z))

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`cbrt-prod_binary64_11118`
52×	`*-un-lft-identity_binary64_11087`
37×	`add-sqr-sqrt_binary64_11109`
22×	`distribute-lft-out--_binary64_11039` `pow1_binary64_11148`
18×	`cbrt-div_binary64_11119`
15×	`swap-sqr_binary64_11054` `add-cube-cbrt_binary64_11122`
11×	`log-pow_binary64_11176`
9×	`flip--_binary64_11062` `associate-l_binary64_11028` `associate-r_binary64_11027` `flip3--_binary64_11091` `pow1/3_binary64_11169`
7×	`difference-of-squares_binary64_11056`
6×	`add-exp-log_binary64_11125`
4×	`add-cbrt-cube_binary64_11123` `add-log-exp_binary64_11126` `unswap-sqr_binary64_11055` `frac-times_binary64_11097`
2×	`pow-prod-down_binary64_11158` `pow-sqr_binary64_11060` `associate-r/_binary64_11029` `associate-l/_binary64_11030` `pow-prod-up_binary64_11157`
1×	`pow2_binary64_11168` `pow-plus_binary64_11150` `cbrt-unprod_binary64_11120` `prod-exp_binary64_11136` `*-commutative_binary64_11018`

Counts

4 → 111

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (cbrt.f64 (-.f64 (log.f64 z) z)))
4.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))
4.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))
4.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))

series385.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (cbrt.f64 (-.f64 (log.f64 z) z)))
96.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))
91.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))
88.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5042	2792

prune170.0ms (3.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	123	7	130

Merged error: 0b

Counts

130 → 7

Compiler

Compiled 4335 to 1569 computations (63.8% saved)

regimes131.0ms (3%)

Compiler: Compiled 1149 to 871 computations (24.2% 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%)

sample799.0ms (18%)

Algorithm

1×

intervals

Results

393.0ms	8000×	body	128	valid
14.0ms	294×	body	128	invalid
2.0ms	63×	body	128	nan

Compiler

Compiled 192 to 149 computations (22.4% saved)

Details

analyze179.0ms (4%)

sample22.0ms (0.5%)

simplify203.0ms (4.6%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite37.0ms (0.8%)

series320.0ms (7.2%)

simplify71.0ms (1.6%)

prune163.0ms (3.7%)

localize16.0ms (0.4%)

rewrite35.0ms (0.8%)

series916.0ms (20.6%)

simplify74.0ms (1.7%)

prune138.0ms (3.1%)

localize9.0ms (0.2%)

rewrite29.0ms (0.7%)

series433.0ms (9.8%)

simplify72.0ms (1.6%)

prune101.0ms (2.3%)

localize14.0ms (0.3%)

rewrite40.0ms (0.9%)

series385.0ms (8.7%)

simplify62.0ms (1.4%)

prune170.0ms (3.8%)

regimes131.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample799.0ms (18%)

Profiling