Details

analyze939.0ms (9.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	52
1	1161	52
0	3	3
1	3	3

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)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	537	13
1	537	13

prune4.0ms (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

Error

3.3b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_21583`
9×	`-un-lft-identity_binary64_21561` `associate-l*_binary64_21502`
6×	`associate-r_binary64_21501` `add-exp-log_binary64_21599` `add-cube-cbrt_binary64_21596` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
2×	`cbrt-unprod_binary64_21594` `distribute-lft-in_binary64_21510` `distribute-rgt-in_binary64_21511` `cancel-sign-sub-inv_binary64_21527` `flip3--_binary64_21565` `associate-l/_binary64_21504` `associate-r/_binary64_21503` `prod-exp_binary64_21610` `difference-of-squares_binary64_21530` `sub-neg_binary64_21554` `*-commutative_binary64_21492` `add-log-exp_binary64_21600` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529` `flip--_binary64_21536`
1×	`distribute-lft-out--_binary64_21513`

Counts

2 → 47

Calls

2 calls:

12.0ms	(*.f64 (-.f64 1 y) z)
11.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series314.0ms (3.3%)

Counts

2 → 24

Calls

2 calls:

216.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
97.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 349 to 305 computations (12.6% saved)

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4957	805
1	4957	805

prune118.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	8	72

Error

3.2b

Counts

72 → 8

Compiler

Compiled 975 to 659 computations (32.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))
3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_21583`
10×	`*-un-lft-identity_binary64_21561` `add-exp-log_binary64_21599` `add-cube-cbrt_binary64_21596` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
9×	`associate-r_binary64_21501` `associate-l_binary64_21502`
8×	`associate-*r/_binary64_21503`
6×	`distribute-lft-in_binary64_21510` `distribute-rgt-in_binary64_21511` `cancel-sign-sub-inv_binary64_21527` `sub-neg_binary64_21554`
4×	`flip3--_binary64_21565` `add-log-exp_binary64_21600` `flip--_binary64_21536`
3×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `*-commutative_binary64_21492` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529`
2×	`cbrt-div_binary64_21593`
1×	`pow1/3_binary64_21643` `cbrt-prod_binary64_21592`

Counts

4 → 83

Calls

4 calls:

15.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
12.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
12.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
8.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))

series1.4s (14.7%)

Counts

4 → 63

Calls

4 calls:

667.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))
267.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
248.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
238.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 4034 to 3121 computations (22.6% saved)

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5079	2521

prune469.0ms (4.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	145	9	154

Error

3.2b

Counts

154 → 9

Compiler

Compiled 5524 to 3851 computations (30.3% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
3.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
3.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
3.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_21583`
9×	`*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596` `cbrt-prod_binary64_21592`
6×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622` `cbrt-div_binary64_21593`
4×	`flip3--_binary64_21565` `add-log-exp_binary64_21600` `flip--_binary64_21536`
3×	`associate-r_binary64_21501` `pow1/3_binary64_21643` `associate-l_binary64_21502`
2×	`distribute-lft-in_binary64_21510` `distribute-rgt-in_binary64_21511` `cancel-sign-sub-inv_binary64_21527` `associate-*r/_binary64_21503` `sub-neg_binary64_21554`
1×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `*-commutative_binary64_21492` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529`

Counts

4 → 63

Calls

4 calls:

11.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
6.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
5.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
5.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

series1.7s (17.8%)

Counts

4 → 66

Calls

4 calls:

464.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
449.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
446.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
352.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 7130 to 5648 computations (20.8% saved)

simplify174.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4954	3191
1	4954	3191

prune784.0ms (8.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	129	9	138

Error

3.2b

Counts

138 → 9

Compiler

Compiled 7896 to 5890 computations (25.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 y))
0.1b	(*.f64 z (sqrt.f64 (-.f64 1 y)))
0.1b	(.f64 (sqrt.f64 (-.f64 1 y)) (.f64 z (sqrt.f64 (-.f64 1 y))))
1.9b	(.f64 x (-.f64 1 (.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 z (sqrt.f64 (-.f64 1 y))))))

rewrite80.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_21583`
21×	`*-un-lft-identity_binary64_21561`
19×	`sqrt-prod_binary64_21577`
16×	`sqrt-div_binary64_21578`
15×	`associate-l_binary64_21502`
14×	`pow1_binary64_21622`
13×	`associate-r_binary64_21501` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
12×	`associate-*r/_binary64_21503` `add-cube-cbrt_binary64_21596`
9×	`flip3--_binary64_21565` `flip--_binary64_21536`
6×	`difference-of-squares_binary64_21530`
5×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `pow-prod-down_binary64_21632`
4×	`frac-times_binary64_21571` `add-log-exp_binary64_21600`
3×	`*-commutative_binary64_21492` `distribute-lft-out--_binary64_21513` `unswap-sqr_binary64_21529`
2×	`distribute-lft-in_binary64_21510` `distribute-rgt-in_binary64_21511` `cancel-sign-sub-inv_binary64_21527` `associate-*l/_binary64_21504` `sub-neg_binary64_21554`
1×	`rem-sqrt-square_binary64_21574` `sqrt-pow1_binary64_21579` `pow1/2_binary64_21641`

Counts

4 → 101

Calls

4 calls:

27.0ms	(.f64 (sqrt.f64 (-.f64 1 y)) (.f64 z (sqrt.f64 (-.f64 1 y))))
17.0ms	(*.f64 z (sqrt.f64 (-.f64 1 y)))
12.0ms	(.f64 x (-.f64 1 (.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 z (sqrt.f64 (-.f64 1 y))))))
7.0ms	(sqrt.f64 (-.f64 1 y))

series527.0ms (5.5%)

Counts

4 → 39

Calls

4 calls:

240.0ms	(.f64 x (-.f64 1 (.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 z (sqrt.f64 (-.f64 1 y))))))
133.0ms	(*.f64 z (sqrt.f64 (-.f64 1 y)))
118.0ms	(.f64 (sqrt.f64 (-.f64 1 y)) (.f64 z (sqrt.f64 (-.f64 1 y))))
35.0ms	(sqrt.f64 (-.f64 1 y))

Compiler

Compiled 743 to 653 computations (12.1% saved)

simplify152.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5197	1683

prune235.0ms (2.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	139	10	149

Error

3.2b

Counts

149 → 10

Compiler

Compiled 2349 to 1660 computations (29.3% saved)

regimes501.0ms (5.2%)

Accuracy

Total 0.2b remaining (5.5%)

Threshold costs 0.2b (5.5%)

Compiler

Compiled 2441 to 2146 computations (12.1% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	99	13
1	99	13

end0.0ms (0%)

sample1.7s (17.3%)

Algorithm

1×

intervals

Results

457.0ms	8000×	body	128	valid
36.0ms	656×	body	128	invalid

Compiler

Compiled 415 to 354 computations (14.7% saved)

Details

analyze939.0ms (9.7%)

sample27.0ms (0.3%)

simplify66.0ms (0.7%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite28.0ms (0.3%)

series314.0ms (3.3%)

simplify97.0ms (1%)

prune118.0ms (1.2%)

localize19.0ms (0.2%)

rewrite63.0ms (0.7%)

series1.4s (14.7%)

simplify129.0ms (1.3%)

prune469.0ms (4.9%)

localize32.0ms (0.3%)

rewrite43.0ms (0.4%)

series1.7s (17.8%)

simplify174.0ms (1.8%)

prune784.0ms (8.1%)

localize17.0ms (0.2%)

rewrite80.0ms (0.8%)

series527.0ms (5.5%)

simplify152.0ms (1.6%)

prune235.0ms (2.4%)

regimes501.0ms (5.2%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.7s (17.3%)

Profiling