Details

analyze2.0s (13.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2950	133
1	2950	133
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample49.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
7.0ms	102×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

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

7.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
7.3b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite149.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

3.8b

Rules

16×	`cancel-sign-sub-inv_binary64_17094`
11×	`add-sqr-sqrt_binary64_17150`
9×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
8×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `associate--r+_binary64_17064`
7×	`add-log-exp_binary64_17167`
6×	`sub-neg_binary64_17121`
4×	`associate-r_binary64_17068`
3×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `flip3--_binary64_17132` `flip--_binary64_17103`
2×	`associate-*r/_binary64_17070` `difference-of-squares_binary64_17097` `diff-log_binary64_17220`
1×	`associate-l_binary64_17069` `*-commutative_binary64_17059`

Counts

3 → 64

Calls

3 calls:

16.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
9.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
8.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1409 to 532 computations (62.2% saved)

series1.1s (7.3%)

Error

7.1b

Counts

3 → 51

Calls

3 calls:

595.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
303.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
108.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1707 to 1400 computations (18% saved)

simplify143.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4924	1628
1	4924	1628

prune162.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Error

3.2b

Counts

116 → 8

Compiler

Compiled 1896 to 712 computations (62.4% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.3b	(.f64 (.f64 y 4) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (.f64 z z) t))) (cbrt.f64 (-.f64 (*.f64 z z) t))))
7.9b	(cbrt.f64 (-.f64 (*.f64 z z) t))
7.9b	(cbrt.f64 (-.f64 (*.f64 z z) t))
7.9b	(cbrt.f64 (-.f64 (*.f64 z z) t))

rewrite299.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

60×	`cbrt-div_binary64_17160`
34×	`associate-*r/_binary64_17070`
30×	`flip3--_binary64_17132` `flip--_binary64_17103`
28×	`frac-times_binary64_17138`
25×	`pow1_binary64_17189` `add-exp-log_binary64_17166`
17×	`add-cbrt-cube_binary64_17164`
15×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
14×	`associate-*l/_binary64_17071`
12×	`cbrt-prod_binary64_17159`
10×	`add-sqr-sqrt_binary64_17150`
7×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
4×	`add-log-exp_binary64_17167`
3×	`pow1/3_binary64_17210` `difference-of-squares_binary64_17097`
1×	`associate-l_binary64_17069` `associate-r_binary64_17068` `*-commutative_binary64_17059`

Counts

4 → 96

Calls

4 calls:

49.0ms	(.f64 (.f64 y 4) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (.f64 z z) t))) (cbrt.f64 (-.f64 (*.f64 z z) t))))
8.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
7.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
7.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 4381 to 898 computations (79.5% saved)

series930.0ms (6.3%)

Error

3.2b

Counts

4 → 42

Calls

4 calls:

314.0ms	(.f64 (.f64 y 4) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (.f64 z z) t))) (cbrt.f64 (-.f64 (*.f64 z z) t))))
191.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
182.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
174.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 3129 to 2044 computations (34.7% saved)

simplify140.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5056	2541

prune260.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	138	8	146

Error

3.2b

Counts

146 → 8

Compiler

Compiled 4474 to 1297 computations (71% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
1.3b	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
7.3b	(.f64 y (-.f64 (.f64 z z) t))
7.3b	(.f64 y (-.f64 (.f64 z z) t))

rewrite264.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

22×	`add-sqr-sqrt_binary64_17150`
14×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
12×	`cancel-sign-sub-inv_binary64_17094`
10×	`pow1_binary64_17189`
8×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `associate-r_binary64_17068`
6×	`associate-l_binary64_17069` `sqrt-prod_binary64_17144`
4×	`add-log-exp_binary64_17167` `sub-neg_binary64_17121` `associate-*r/_binary64_17070` `sqrt-div_binary64_17145`
2×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `unswap-sqr_binary64_17096` `flip3--_binary64_17132` `flip--_binary64_17103` `difference-of-squares_binary64_17097` `*-commutative_binary64_17059` `pow1/2_binary64_17208` `sqrt-pow1_binary64_17146` `flip3-+_binary64_17131` `flip-+_binary64_17102` `rem-sqrt-square_binary64_17141`

Counts

4 → 88

Calls

4 calls:

17.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
16.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
14.0ms	(.f64 y (-.f64 (.f64 z z) t))
14.0ms	(.f64 y (-.f64 (.f64 z z) t))

Compiler

Compiled 3424 to 1111 computations (67.6% saved)

series2.4s (16.3%)

Error

3.2b

Counts

4 → 84

Calls

4 calls:

852.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
780.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
279.0ms	(.f64 y (-.f64 (.f64 z z) t))
257.0ms	(.f64 y (-.f64 (.f64 z z) t))

Compiler

Compiled 9274 to 6324 computations (31.8% saved)

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4962	4428
1	4962	4428

prune420.0ms (2.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	172	8	180

Error

3.2b

Counts

180 → 8

Compiler

Compiled 6590 to 2507 computations (62% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
0.2b	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
7.3b	(sqrt.f64 (-.f64 (*.f64 z z) t))
7.3b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite244.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

20×	`pow1_binary64_17189`
18×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `sqrt-div_binary64_17145`
16×	`add-sqr-sqrt_binary64_17150` `sqrt-prod_binary64_17144`
14×	`associate-r_binary64_17068`
10×	`add-cube-cbrt_binary64_17163` `-un-lft-identity_binary64_17128` `associate-r/_binary64_17070`
9×	`flip3--_binary64_17132` `flip--_binary64_17103` `pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
4×	`add-log-exp_binary64_17167` `difference-of-squares_binary64_17097` `frac-times_binary64_17138`
2×	`pow1/2_binary64_17208` `sqrt-pow1_binary64_17146` `rem-sqrt-square_binary64_17141` `associate-l/_binary64_17071` `associate-l_binary64_17069` `-commutative_binary64_17059`

Counts

4 → 89

Calls

4 calls:

33.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
18.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
8.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
8.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 2848 to 732 computations (74.3% saved)

series751.0ms (5%)

Error

3.2b

Counts

4 → 39

Calls

4 calls:

309.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
232.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
88.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
68.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 2030 to 1394 computations (31.3% saved)

simplify141.0ms (1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5085	1909

prune197.0ms (1.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	126	10	136

Error

3.2b

Counts

136 → 10

Compiler

Compiled 2919 to 871 computations (70.2% saved)

regimes2.0s (13.4%)

Accuracy

Total 0.7b remaining (22%)

Threshold costs 0.7b (22%)

Compiler

Compiled 11006 to 7381 computations (32.9% saved)

bsearch4.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	326	54
1	326	54

end0.0ms (0%)

sample2.9s (19.4%)

Algorithm

1×

intervals

Results

560.0ms	8000×	body	128	valid
207.0ms	3039×	body	128	invalid

Compiler

Compiled 1024 to 692 computations (32.4% saved)

Details

analyze2.0s (13.4%)

sample49.0ms (0.3%)

simplify89.0ms (0.6%)

prune4.0ms (0%)

localize18.0ms (0.1%)

rewrite149.0ms (1%)

series1.1s (7.3%)

simplify143.0ms (1%)

prune162.0ms (1.1%)

localize31.0ms (0.2%)

rewrite299.0ms (2%)

series930.0ms (6.3%)

simplify140.0ms (0.9%)

prune260.0ms (1.7%)

localize24.0ms (0.2%)

rewrite264.0ms (1.8%)

series2.4s (16.3%)

simplify130.0ms (0.9%)

prune420.0ms (2.8%)

localize23.0ms (0.2%)

rewrite244.0ms (1.6%)

series751.0ms (5%)

simplify141.0ms (1%)

prune197.0ms (1.3%)

regimes2.0s (13.4%)

bsearch4.0ms (0%)

simplify25.0ms (0.2%)

end0.0ms (0%)

sample2.9s (19.4%)

Profiling