Details

analyze1.4s (19.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	863	304
1	863	304
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample39.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
5.0ms	122×	body	128	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	81	19
1	81	19

prune4.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 41 to 37 computations (9.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
5.1b	(.f64 (.f64 a z) b)

rewrite56.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-log-exp_binary64_17849`
8×	`pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
7×	`sum-log_binary64_17901`
4×	`add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810`
3×	`pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `associate-r_binary64_17750`
2×	`flip3-+_binary64_17813` `flip-+_binary64_17784` `+-commutative_binary64_17740`
1×	`associate-l_binary64_17751` `*-commutative_binary64_17741` `associate-+l+_binary64_17743`

Counts

3 → 43

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
5.0ms	(.f64 (.f64 a z) b)
3.0ms	(+.f64 x (*.f64 y z))

Compiler

Compiled 1010 to 185 computations (81.7% saved)

series591.0ms (8.3%)

Error

0.0b

Counts

3 → 63

Calls

3 calls:

371.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
96.0ms	(.f64 (.f64 a z) b)
83.0ms	(+.f64 x (*.f64 y z))

Compiler

Compiled 2050 to 1232 computations (39.9% saved)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5037	1313

prune74.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Error

0.0b

Counts

108 → 3

Compiler

Compiled 1631 to 197 computations (87.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
0.0b	(+.f64 t (*.f64 z b))
2.6b	(.f64 a (+.f64 t (.f64 z b)))

rewrite65.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-log-exp_binary64_17849`
8×	`add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810`
6×	`pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846` `add-cube-cbrt_binary64_17845`
5×	`sum-log_binary64_17901`
4×	`flip3-+_binary64_17813` `flip-+_binary64_17784`
3×	`associate-l_binary64_17751` `associate-r_binary64_17750` `+-commutative_binary64_17740` `associate-+r+_binary64_17742`
2×	`distribute-rgt-in_binary64_17760` `distribute-lft-in_binary64_17759` `associate-*r/_binary64_17752`
1×	`pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `*-commutative_binary64_17741` `distribute-lft-out_binary64_17761`

Counts

4 → 60

Calls

4 calls:

6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))
4.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
3.0ms	(+.f64 t (*.f64 z b))

Compiler

Compiled 1337 to 272 computations (79.7% saved)

series949.0ms (13.3%)

Error

0.0b

Counts

4 → 105

Calls

4 calls:

384.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
297.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
144.0ms	(.f64 a (+.f64 t (.f64 z b)))
78.0ms	(+.f64 t (*.f64 z b))

Compiler

Compiled 3156 to 1909 computations (39.5% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5016	2180

prune93.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	164	4	168

Error

0.0b

Counts

168 → 4

Compiler

Compiled 2349 to 298 computations (87.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.9b	(.f64 a (.f64 z b))
5.9b	(.f64 a (.f64 z b))
14.4b	(sqrt.f64 (.f64 a (.f64 z b)))
14.4b	(sqrt.f64 (.f64 a (.f64 z b)))

rewrite72.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`pow1_binary64_17871`
14×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
12×	`pow-prod-down_binary64_17881`
6×	`add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `sqrt-pow1_binary64_17828` `-un-lft-identity_binary64_17810` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `associate-l*_binary64_17751`
4×	`add-log-exp_binary64_17849`
2×	`pow1/2_binary64_17890` `sqrt-prod_binary64_17826` `associate-r_binary64_17750` `*-commutative_binary64_17741`

Counts

4 → 60

Calls

4 calls:

5.0ms	(.f64 a (.f64 z b))
5.0ms	(.f64 a (.f64 z b))
4.0ms	(sqrt.f64 (.f64 a (.f64 z b)))
4.0ms	(sqrt.f64 (.f64 a (.f64 z b)))

Compiler

Compiled 1688 to 268 computations (84.1% saved)

series334.0ms (4.7%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

94.0ms	(.f64 a (.f64 z b))
89.0ms	(.f64 a (.f64 z b))
69.0ms	(sqrt.f64 (.f64 a (.f64 z b)))
62.0ms	(sqrt.f64 (.f64 a (.f64 z b)))

Compiler

Compiled 2730 to 1410 computations (48.4% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5016	806

prune69.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	96	4	100

Error

0.0b

Counts

100 → 4

Compiler

Compiled 2424 to 285 computations (88.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3)))))
0.1b	(pow.f64 (+.f64 t (*.f64 z b)) 3)
2.6b	(.f64 a (cbrt.f64 (pow.f64 (+.f64 t (.f64 z b)) 3)))
30.5b	(cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3))

rewrite143.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`cbrt-prod_binary64_17841`
24×	`add-sqr-sqrt_binary64_17832`
17×	`*-un-lft-identity_binary64_17810`
15×	`add-cube-cbrt_binary64_17845` `associate-r_binary64_17750`
10×	`unpow-prod-down_binary64_17889` `cube-prod_binary64_17838`
9×	`add-log-exp_binary64_17849`
7×	`pow1_binary64_17871` `add-exp-log_binary64_17848`
6×	`add-cbrt-cube_binary64_17846` `cube-div_binary64_17839`
5×	`unswap-sqr_binary64_17778`
4×	`flip3-+_binary64_17813` `cbrt-div_binary64_17842` `flip-+_binary64_17784` `sqr-pow_binary64_17782`
3×	`unpow3_binary64_17876` `cube-mult_binary64_17840` `associate-l_binary64_17751` `pow-unpow_binary64_17887` `sum-log_binary64_17901`
2×	`associate-*r/_binary64_17752`
1×	`pow1/3_binary64_17892` `rem-cbrt-cube_binary64_17834` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `*-commutative_binary64_17741` `pow-pow_binary64_17882` `pow-to-exp_binary64_17879` `pow-exp_binary64_17878` `rem-cube-cbrt_binary64_17833` `distribute-lft-out_binary64_17761` `associate-+r+_binary64_17742` `+-commutative_binary64_17740`

Counts

4 → 98

Calls

4 calls:

10.0ms	(.f64 a (cbrt.f64 (pow.f64 (+.f64 t (.f64 z b)) 3)))
6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3)))))
4.0ms	(pow.f64 (+.f64 t (*.f64 z b)) 3)
4.0ms	(cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3))

Compiler

Compiled 2593 to 1042 computations (59.8% saved)

series847.0ms (11.9%)

Error

0.0b

Counts

4 → 111

Calls

4 calls:

377.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3)))))
164.0ms	(.f64 a (cbrt.f64 (pow.f64 (+.f64 t (.f64 z b)) 3)))
152.0ms	(pow.f64 (+.f64 t (*.f64 z b)) 3)
75.0ms	(cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3))

Compiler

Compiled 4379 to 2954 computations (32.5% saved)

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5536	3083

prune147.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	208	1	209
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	209	4	213

Error

Counts

213 → 4

Compiler

Compiled 3761 to 996 computations (73.5% saved)

regimes351.0ms (4.9%)

Accuracy

Total 2.0b remaining (99.3%)

Threshold costs 0b (0%)

Compiler

Compiled 2828 to 2758 computations (2.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms (0%)

sample1.5s (21.5%)

Algorithm

1×

intervals

Results

359.0ms	8000×	body	128	valid
174.0ms	3796×	body	128	invalid

Compiler

Compiled 476 to 437 computations (8.2% saved)

Details

analyze1.4s (19.8%)

sample39.0ms (0.5%)

simplify8.0ms (0.1%)

prune4.0ms (0.1%)

localize11.0ms (0.1%)

rewrite56.0ms (0.8%)

series591.0ms (8.3%)

simplify57.0ms (0.8%)

prune74.0ms (1%)

localize13.0ms (0.2%)

rewrite65.0ms (0.9%)

series949.0ms (13.3%)

simplify82.0ms (1.2%)

prune93.0ms (1.3%)

localize13.0ms (0.2%)

rewrite72.0ms (1%)

series334.0ms (4.7%)

simplify76.0ms (1.1%)

prune69.0ms (1%)

localize16.0ms (0.2%)

rewrite143.0ms (2%)

series847.0ms (11.9%)

simplify62.0ms (0.9%)

prune147.0ms (2.1%)

regimes351.0ms (4.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (21.5%)

Profiling