Details

analyze801.0ms (9.3%)

Algorithm

1×

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)

sample32.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	94×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify162.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

prune3.0ms (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

6.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
6.4b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite112.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

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

Counts

2 → 49

Calls

2 calls:

27.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
9.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))

Compiler

Compiled 1112 to 443 computations (60.2% saved)

series671.0ms (7.8%)

Error

5.5b

Counts

2 → 39

Calls

2 calls:

403.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
233.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

Compiler

Compiled 1341 to 1112 computations (17.1% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4978	1414
1	4978	1414

prune84.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	80	8	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Error

2.7b

Counts

89 → 8

Compiler

Compiled 1508 to 594 computations (60.6% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
6.1b	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))

rewrite98.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

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

Counts

2 → 64

Calls

2 calls:

10.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
6.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))

Compiler

Compiled 1423 to 576 computations (59.5% saved)

series690.0ms (8%)

Error

2.7b

Counts

2 → 39

Calls

2 calls:

438.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
221.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))

Compiler

Compiled 1341 to 1112 computations (17.1% saved)

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4914	1658
1	4914	1658

prune87.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	102	9	111

Error

2.7b

Counts

111 → 9

Compiler

Compiled 1794 to 707 computations (60.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
0.0b	(.f64 4 (.f64 z z))
0.0b	(.f64 -4 (.f64 y t))
9.2b	(.f64 y (.f64 4 (*.f64 z z)))

rewrite128.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

23×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
12×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
9×	`associate-l_binary64_17069`
8×	`add-sqr-sqrt_binary64_17150`
7×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
6×	`add-log-exp_binary64_17167`
3×	`associate-r_binary64_17068` `*-commutative_binary64_17059`
1×	`unswap-sqr_binary64_17096` `sum-log_binary64_17219` `flip3-+_binary64_17131` `flip-+_binary64_17102` `+-commutative_binary64_17058`

Counts

4 → 69

Calls

4 calls:

9.0ms	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
7.0ms	(.f64 y (.f64 4 (*.f64 z z)))
5.0ms	(.f64 4 (.f64 z z))
5.0ms	(.f64 -4 (.f64 y t))

Compiler

Compiled 1662 to 796 computations (52.1% saved)

series481.0ms (5.6%)

Error

2.7b

Counts

4 → 30

Calls

4 calls:

245.0ms	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
98.0ms	(.f64 y (.f64 4 (*.f64 z z)))
64.0ms	(.f64 -4 (.f64 y t))
49.0ms	(.f64 4 (.f64 z z))

Compiler

Compiled 1332 to 1007 computations (24.4% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5202	1074

prune105.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	99	9	108

Error

2.7b

Counts

108 → 9

Compiler

Compiled 1980 to 906 computations (54.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.8b	(cbrt.f64 (.f64 y (.f64 4 (-.f64 (*.f64 z z) t))))
6.1b	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
6.1b	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
6.1b	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))

rewrite304.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

48×	`distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
36×	`cancel-sign-sub-inv_binary64_17094`
19×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
16×	`associate-*r/_binary64_17070`
12×	`sub-neg_binary64_17121`
9×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `associate-l_binary64_17069`
4×	`add-log-exp_binary64_17167` `flip3--_binary64_17132` `flip--_binary64_17103`
3×	`associate-r_binary64_17068` `*-commutative_binary64_17059`
2×	`cbrt-div_binary64_17160`
1×	`pow1/3_binary64_17210` `cbrt-prod_binary64_17159`

Counts

4 → 119

Calls

4 calls:

14.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
13.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
10.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
7.0ms	(cbrt.f64 (.f64 y (.f64 4 (-.f64 (*.f64 z z) t))))

Compiler

Compiled 5279 to 2288 computations (56.7% saved)

series1.2s (13.7%)

Error

2.7b

Counts

4 → 59

Calls

4 calls:

421.0ms	(cbrt.f64 (.f64 y (.f64 4 (-.f64 (*.f64 z z) t))))
231.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
221.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
212.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))

Compiler

Compiled 6265 to 4059 computations (35.2% saved)

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4996	2737
1	4996	2737

prune292.0ms (3.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	178	9	187

Error

2.7b

Counts

187 → 9

Compiler

Compiled 6995 to 3077 computations (56% saved)

regimes1.2s (13.5%)

Accuracy

Total 0.9b remaining (24.9%)

Threshold costs 0.9b (24.9%)

Compiler

Compiled 9448 to 7326 computations (22.5% saved)

bsearch3.0ms (0%)

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	352	54
1	352	54

end0.0ms (0%)

sample1.8s (20.7%)

Algorithm

1×

intervals

Results

345.0ms	8000×	body	128	valid
130.0ms	3050×	body	128	invalid

Compiler

Compiled 850 to 661 computations (22.2% saved)

Details

analyze801.0ms (9.3%)

sample32.0ms (0.4%)

simplify162.0ms (1.9%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite112.0ms (1.3%)

series671.0ms (7.8%)

simplify96.0ms (1.1%)

prune84.0ms (1%)

localize13.0ms (0.1%)

rewrite98.0ms (1.1%)

series690.0ms (8%)

simplify91.0ms (1.1%)

prune87.0ms (1%)

localize11.0ms (0.1%)

rewrite128.0ms (1.5%)

series481.0ms (5.6%)

simplify87.0ms (1%)

prune105.0ms (1.2%)

localize15.0ms (0.2%)

rewrite304.0ms (3.5%)

series1.2s (13.7%)

simplify93.0ms (1.1%)

prune292.0ms (3.4%)

regimes1.2s (13.5%)

bsearch3.0ms (0%)

simplify17.0ms (0.2%)

end0.0ms (0%)

sample1.8s (20.7%)

Profiling