Details

analyze273.0ms (9.1%)

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
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify127.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	537	13
1	537	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

Error

2.3b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (*.f64 (-.f64 1 y) z))
0.0b	(*.f64 (-.f64 1 y) z)
2.2b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_21583`
10×	`*-un-lft-identity_binary64_21561`
9×	`associate-l_binary64_21502`
7×	`add-exp-log_binary64_21599` `add-cube-cbrt_binary64_21596` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
6×	`associate-r_binary64_21501`
5×	`add-log-exp_binary64_21600`
3×	`cancel-sign-sub-inv_binary64_21527` `flip3--_binary64_21565` `sub-neg_binary64_21554` `flip--_binary64_21536`
2×	`cbrt-unprod_binary64_21594` `distribute-lft-in_binary64_21510` `distribute-rgt-in_binary64_21511` `associate-l/_binary64_21504` `associate-r/_binary64_21503` `prod-exp_binary64_21610` `difference-of-squares_binary64_21530` `*-commutative_binary64_21492` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529`
1×	`diff-log_binary64_21653` `distribute-lft-out--_binary64_21513`

Counts

3 → 59

Calls

3 calls:

7.0ms	(*.f64 (-.f64 1 y) z)
7.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
4.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))

series78.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
19.0ms	(*.f64 (-.f64 1 y) z)
16.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5035	864

prune67.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	8	69

Error

2.2b

Counts

69 → 8

Compiler

Compiled 1073 to 748 computations (30.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
0.0b	(-.f64 (*.f64 y z) z)
2.2b	(.f64 x (-.f64 (.f64 y z) z))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cancel-sign-sub-inv_binary64_21527`
12×	`add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561`
10×	`add-cube-cbrt_binary64_21596`
8×	`distribute-lft-in_binary64_21510` `associate-+r+_binary64_21493` `distribute-rgt-in_binary64_21511`
7×	`add-log-exp_binary64_21600`
5×	`add-exp-log_binary64_21599` `sub-neg_binary64_21554` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
4×	`associate-r_binary64_21501`
3×	`associate-l_binary64_21502`
2×	`flip3--_binary64_21565` `associate-*r/_binary64_21503` `distribute-rgt-out--_binary64_21515` `flip--_binary64_21536`
1×	`cbrt-unprod_binary64_21594` `+-commutative_binary64_21491` `diff-log_binary64_21653` `prod-exp_binary64_21610` `sum-log_binary64_21652` `flip-+_binary64_21535` `flip3-+_binary64_21564` `*-commutative_binary64_21492` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529`

Counts

3 → 63

Calls

3 calls:

9.0ms	(.f64 x (-.f64 (.f64 y z) z))
4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
4.0ms	(-.f64 (*.f64 y z) z)

series99.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(.f64 x (-.f64 (.f64 y z) z))
39.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
19.0ms	(-.f64 (*.f64 y z) z)

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5248	899

prune51.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Error

0.0b

Counts

80 → 6

Compiler

Compiled 1088 to 297 computations (72.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
4.5b	(.f64 (.f64 x z) (-.f64 y 1))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_21527`
11×	`add-sqr-sqrt_binary64_21583`
10×	`*-un-lft-identity_binary64_21561`
8×	`distribute-lft-in_binary64_21510` `associate-+r+_binary64_21493` `distribute-rgt-in_binary64_21511`
7×	`associate-r_binary64_21501` `add-exp-log_binary64_21599` `add-cube-cbrt_binary64_21596` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
4×	`sub-neg_binary64_21554` `add-log-exp_binary64_21600`
3×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `pow-prod-down_binary64_21632`
2×	`associate-*r/_binary64_21503` `difference-of-squares_binary64_21530`
1×	`+-commutative_binary64_21491` `flip3--_binary64_21565` `difference-of-sqr-1_binary64_21531` `sum-log_binary64_21652` `flip-+_binary64_21535` `flip3-+_binary64_21564` `-commutative_binary64_21492` `associate-l*_binary64_21502` `distribute-lft-out--_binary64_21513` `flip--_binary64_21536`

Counts

2 → 51

Calls

2 calls:

9.0ms	(.f64 (.f64 x z) (-.f64 y 1))
4.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))

series79.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

41.0ms	(.f64 (.f64 x z) (-.f64 y 1))
37.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))

simplify61.0ms (2%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5063	744

prune49.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	56	7	63

Error

Counts

63 → 7

Compiler

Compiled 891 to 450 computations (49.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 y 1))
0.3b	(cbrt.f64 (-.f64 y 1))
1.2b	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
3.4b	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))

rewrite63.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-div_binary64_21593`
42×	`associate-*r/_binary64_21503`
35×	`flip3--_binary64_21565` `flip--_binary64_21536`
34×	`add-exp-log_binary64_21599` `pow1_binary64_21622`
32×	`frac-times_binary64_21571`
21×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `add-cbrt-cube_binary64_21597` `pow-prod-down_binary64_21632` `cbrt-prod_binary64_21592`
20×	`add-sqr-sqrt_binary64_21583`
17×	`*-un-lft-identity_binary64_21561`
16×	`associate-*l/_binary64_21504`
11×	`associate-r_binary64_21501`
8×	`add-cube-cbrt_binary64_21596`
6×	`difference-of-squares_binary64_21530`
4×	`add-log-exp_binary64_21600`
3×	`difference-of-sqr-1_binary64_21531` `distribute-lft-out--_binary64_21513`
2×	`pow1/3_binary64_21643` `-commutative_binary64_21492` `associate-l*_binary64_21502`

Counts

4 → 124

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
15.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))
8.0ms	(cbrt.f64 (-.f64 y 1))
3.0ms	(cbrt.f64 (-.f64 y 1))

series256.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))
71.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
28.0ms	(cbrt.f64 (-.f64 y 1))
27.0ms	(cbrt.f64 (-.f64 y 1))

simplify80.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4988	3130
1	4988	3130

prune175.0ms (5.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	136	7	143

Error

Counts

143 → 7

Compiler

Compiled 3556 to 2334 computations (34.4% saved)

regimes398.0ms (13.3%)

Accuracy

Total 0.1b remaining (86.1%)

Threshold costs 0.1b (86.1%)

Compiler

Compiled 3186 to 2771 computations (13% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 6 computations (-20% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	166	52
1	166	52

end0.0ms (0%)

sample889.0ms (29.7%)

Algorithm

1×

intervals

Results

243.0ms	8000×	body	128	valid
20.0ms	689×	body	128	invalid

Compiler

Compiled 462 to 384 computations (16.9% saved)

Details

analyze273.0ms (9.1%)

sample18.0ms (0.6%)

simplify127.0ms (4.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite21.0ms (0.7%)

series78.0ms (2.6%)

simplify70.0ms (2.3%)

prune67.0ms (2.2%)

localize6.0ms (0.2%)

rewrite22.0ms (0.7%)

series99.0ms (3.3%)

simplify66.0ms (2.2%)

prune51.0ms (1.7%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series79.0ms (2.6%)

simplify61.0ms (2%)

prune49.0ms (1.6%)

localize10.0ms (0.3%)

rewrite63.0ms (2.1%)

series256.0ms (8.6%)

simplify80.0ms (2.7%)

prune175.0ms (5.8%)

regimes398.0ms (13.3%)

bsearch1.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample889.0ms (29.7%)

Profiling