Details

analyze1.1s (14.4%)

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)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	89×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

prune2.0ms (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

6.3b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (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)))
5.9b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite84.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

16×	`cancel-sign-sub-inv_binary64_18117`
11×	`add-sqr-sqrt_binary64_18173`
9×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151`
8×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187` `distribute-rgt-in_binary64_18101` `distribute-lft-in_binary64_18100` `associate--r+_binary64_18087`
7×	`add-log-exp_binary64_18190`
6×	`sub-neg_binary64_18144`
4×	`associate-r_binary64_18091`
3×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `flip3--_binary64_18155` `flip--_binary64_18126`
2×	`associate-*r/_binary64_18093` `difference-of-squares_binary64_18120` `diff-log_binary64_18243`
1×	`associate-l_binary64_18092` `*-commutative_binary64_18082`

Counts

3 → 64

Calls

3 calls:

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

Compiler

Compiled 1409 to 532 computations (62.2% saved)

series648.0ms (8.5%)

Error

5.3b

Counts

3 → 51

Calls

3 calls:

356.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
186.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
63.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1707 to 1400 computations (18% saved)

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4924	1628
1	4924	1628

prune98.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	9	116

Error

3.9b

Counts

116 → 9

Compiler

Compiled 1930 to 742 computations (61.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (.f64 y t))))
0.0b	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
0.0b	(.f64 4 (.f64 z z))
9.9b	(.f64 y (.f64 4 (*.f64 z z)))

rewrite107.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.1b

Rules

18×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
11×	`add-log-exp_binary64_18190`
9×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `add-sqr-sqrt_binary64_18173`
7×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151`
6×	`associate-l_binary64_18092`
3×	`cancel-sign-sub-inv_binary64_18117`
2×	`associate-r_binary64_18091` `*-commutative_binary64_18082` `sum-log_binary64_18242` `diff-log_binary64_18243`
1×	`unswap-sqr_binary64_18119` `flip3-+_binary64_18154` `flip-+_binary64_18125` `+-commutative_binary64_18081` `flip3--_binary64_18155` `sub-neg_binary64_18144` `flip--_binary64_18126` `difference-of-squares_binary64_18120` `associate--r+_binary64_18087`

Counts

4 → 68

Calls

4 calls:

11.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (.f64 y t))))
9.0ms	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
8.0ms	(.f64 y (.f64 4 (*.f64 z z)))
6.0ms	(.f64 4 (.f64 z z))

Compiler

Compiled 1825 to 865 computations (52.6% saved)

series709.0ms (9.3%)

Error

3.9b

Counts

4 → 48

Calls

4 calls:

360.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (.f64 y t))))
208.0ms	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
79.0ms	(.f64 y (.f64 4 (*.f64 z z)))
26.0ms	(.f64 4 (.f64 z z))

Compiler

Compiled 1818 to 1482 computations (18.5% saved)

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4924	1640
1	4924	1640

prune95.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	116	9	125

Error

3.9b

Counts

125 → 9

Compiler

Compiled 2117 to 876 computations (58.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(.f64 (.f64 y 4) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
6.5b	(cbrt.f64 (-.f64 (*.f64 z z) t))
6.5b	(cbrt.f64 (-.f64 (*.f64 z z) t))
6.5b	(cbrt.f64 (-.f64 (*.f64 z z) t))

rewrite122.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

18×	`cbrt-div_binary64_18183`
16×	`pow1_binary64_18212` `add-exp-log_binary64_18189`
12×	`add-cbrt-cube_binary64_18187` `cbrt-prod_binary64_18182`
10×	`add-sqr-sqrt_binary64_18173` `associate-*r/_binary64_18093`
9×	`flip3--_binary64_18155` `flip--_binary64_18126`
8×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
7×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151`
4×	`add-log-exp_binary64_18190` `frac-times_binary64_18161`
3×	`pow1/3_binary64_18233` `difference-of-squares_binary64_18120`
2×	`associate-*l/_binary64_18094`
1×	`associate-l_binary64_18092` `associate-r_binary64_18091` `*-commutative_binary64_18082`

Counts

4 → 72

Calls

4 calls:

17.0ms	(.f64 (.f64 y 4) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
4.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
4.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 2805 to 617 computations (78% saved)

series794.0ms (10.4%)

Error

3.9b

Counts

4 → 42

Calls

4 calls:

413.0ms	(.f64 (.f64 y 4) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
114.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
110.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
108.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 3744 to 2467 computations (34.1% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4994	1914
1	4994	1914

prune125.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	114	9	123

Error

3.9b

Counts

123 → 9

Compiler

Compiled 3714 to 1167 computations (68.6% saved)

localize11.0ms (0.1%)

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)))
5.9b	(sqrt.f64 (-.f64 (*.f64 z z) t))
5.9b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite131.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

20×	`pow1_binary64_18212`
18×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187` `sqrt-div_binary64_18168`
16×	`add-sqr-sqrt_binary64_18173` `sqrt-prod_binary64_18167`
14×	`associate-r_binary64_18091`
10×	`add-cube-cbrt_binary64_18186` `-un-lft-identity_binary64_18151` `associate-r/_binary64_18093`
9×	`flip3--_binary64_18155` `flip--_binary64_18126` `pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
4×	`add-log-exp_binary64_18190` `difference-of-squares_binary64_18120` `frac-times_binary64_18161`
2×	`pow1/2_binary64_18231` `sqrt-pow1_binary64_18169` `rem-sqrt-square_binary64_18164` `associate-l/_binary64_18094` `associate-l_binary64_18092` `-commutative_binary64_18082`

Counts

4 → 89

Calls

4 calls:

17.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
10.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
4.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 2848 to 732 computations (74.3% saved)

series584.0ms (7.6%)

Error

3.9b

Counts

4 → 60

Calls

4 calls:

190.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
185.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
81.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
79.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 3362 to 2219 computations (34% saved)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4992	2425
1	4992	2425

prune127.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	149	9	158

Error

3.9b

Counts

158 → 9

Compiler

Compiled 3557 to 1134 computations (68.1% saved)

regimes847.0ms (11%)

Accuracy

Total 1.4b remaining (39.8%)

Threshold costs 0b (0%)

Compiler

Compiled 8233 to 6250 computations (24.1% saved)

bsearch98.0ms (1.3%)

Steps

Iters	Range		Point
12	2.6437430618553e+142	2.0137771702556775e+195	1.3397190987904422e+154
9	-8.782893951895757e+140	-4.070830495472007e+134	-8.62635456860306e+140

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	473	98
1	473	98

end0.0ms (0%)

sample1.5s (19.7%)

Algorithm

1×

intervals

Results

301.0ms	8000×	body	128	valid
125.0ms	3081×	body	128	invalid

Compiler

Compiled 793 to 601 computations (24.2% saved)

Details

analyze1.1s (14.4%)

sample29.0ms (0.4%)

simplify48.0ms (0.6%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite84.0ms (1.1%)

series648.0ms (8.5%)

simplify91.0ms (1.2%)

prune98.0ms (1.3%)

localize12.0ms (0.2%)

rewrite107.0ms (1.4%)

series709.0ms (9.3%)

simplify96.0ms (1.3%)

prune95.0ms (1.2%)

localize17.0ms (0.2%)

rewrite122.0ms (1.6%)

series794.0ms (10.4%)

simplify73.0ms (0.9%)

prune125.0ms (1.6%)

localize11.0ms (0.1%)

rewrite131.0ms (1.7%)

series584.0ms (7.6%)

simplify83.0ms (1.1%)

prune127.0ms (1.7%)

regimes847.0ms (11%)

bsearch98.0ms (1.3%)

simplify13.0ms (0.2%)

end0.0ms (0%)

sample1.5s (19.7%)

Profiling