Details

analyze1.6s (16.3%)

Algorithm

1×

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)

sample43.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
6.0ms	111×	body	128	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify105.0ms (1.1%)

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%)

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)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
0.0b	(+.f64 x (*.f64 y z))
5.3b	(.f64 (.f64 a z) b)

rewrite87.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_15121`
10×	`sum-log_binary64_15173`
9×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
5×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
3×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `associate-r_binary64_15022` `flip3-+_binary64_15085` `flip-+_binary64_15056` `+-commutative_binary64_15012`
2×	`associate-+l+_binary64_15015`
1×	`associate-l_binary64_15023` `*-commutative_binary64_15013`

Counts

4 → 56

Calls

4 calls:

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

Compiler

Compiled 1330 to 230 computations (82.7% saved)

series919.0ms (9.3%)

Error

0.0b

Counts

4 → 93

Calls

4 calls:

449.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
220.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
95.0ms	(.f64 (.f64 a z) b)
88.0ms	(+.f64 x (*.f64 y z))

Compiler

Compiled 3011 to 1784 computations (40.8% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5001	1837

prune112.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	148	3	151

Error

0.0b

Counts

151 → 3

Compiler

Compiled 2278 to 239 computations (89.5% saved)

localize10.0ms (0.1%)

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 t (*.f64 z b))
0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
3.2b	(.f64 a (+.f64 t (.f64 z b)))

rewrite88.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-log-exp_binary64_15121`
8×	`add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
6×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `add-cube-cbrt_binary64_15117`
5×	`sum-log_binary64_15173`
4×	`flip3-+_binary64_15085` `flip-+_binary64_15056`
3×	`associate-l_binary64_15023` `associate-r_binary64_15022` `associate-+r+_binary64_15014` `+-commutative_binary64_15012`
2×	`distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `associate-*r/_binary64_15024`
1×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050` `*-commutative_binary64_15013` `distribute-lft-out_binary64_15033`

Counts

4 → 60

Calls

4 calls:

11.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
8.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(+.f64 t (*.f64 z b))
5.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))

Compiler

Compiled 1337 to 272 computations (79.7% saved)

series1.1s (11%)

Error

0.0b

Counts

4 → 105

Calls

4 calls:

393.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
335.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
205.0ms	(.f64 a (+.f64 t (.f64 z b)))
96.0ms	(+.f64 t (*.f64 z b))

Compiler

Compiled 3156 to 1909 computations (39.5% saved)

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5016	2180

prune106.0ms (1.1%)

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 2359 to 293 computations (87.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.0b	(cbrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))
3.2b	(.f64 a (+.f64 t (.f64 z b)))
3.2b	(.f64 a (+.f64 t (.f64 z b)))
3.2b	(.f64 a (+.f64 t (.f64 z b)))

rewrite145.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_15104`
11×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
10×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
9×	`associate-l_binary64_15023` `associate-r_binary64_15022`
6×	`associate-*r/_binary64_15024`
4×	`add-log-exp_binary64_15121` `flip3-+_binary64_15085` `flip-+_binary64_15056`
3×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `*-commutative_binary64_15013` `cbrt-prod_binary64_15113`
2×	`cbrt-div_binary64_15114`
1×	`pow1/3_binary64_15164`

Counts

4 → 79

Calls

4 calls:

10.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(cbrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))

Compiler

Compiled 3844 to 433 computations (88.7% saved)

series1.5s (14.9%)

Error

0.0b

Counts

4 → 93

Calls

4 calls:

721.0ms	(cbrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))
220.0ms	(.f64 a (+.f64 t (.f64 z b)))
191.0ms	(.f64 a (+.f64 t (.f64 z b)))
189.0ms	(.f64 a (+.f64 t (.f64 z b)))

Compiler

Compiled 11759 to 4564 computations (61.2% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4989	2764
1	4989	2764

prune455.0ms (4.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	172	4	176

Error

0.0b

Counts

176 → 4

Compiler

Compiled 7625 to 752 computations (90.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 y (*.f64 a b))
0.0b	(+.f64 x (.f64 z (+.f64 y (.f64 a b))))
2.2b	(.f64 z (+.f64 y (.f64 a b)))

rewrite62.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-log-exp_binary64_15121` `add-sqr-sqrt_binary64_15104`
5×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
3×	`flip3-+_binary64_15085` `flip-+_binary64_15056` `associate-l_binary64_15023` `associate-r_binary64_15022`
2×	`distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `associate-*r/_binary64_15024` `sum-log_binary64_15173` `associate-+r+_binary64_15014` `+-commutative_binary64_15012`
1×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050` `*-commutative_binary64_15013`

Counts

3 → 46

Calls

3 calls:

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

Compiler

Compiled 784 to 185 computations (76.4% saved)

series572.0ms (5.8%)

Error

0.0b

Counts

3 → 69

Calls

3 calls:

277.0ms	(+.f64 x (.f64 z (+.f64 y (.f64 a b))))
167.0ms	(.f64 z (+.f64 y (.f64 a b)))
96.0ms	(+.f64 y (*.f64 a b))

Compiler

Compiled 1474 to 1062 computations (28% saved)

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4990	1217
1	4990	1217

prune60.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	115	4	119

Error

Counts

119 → 4

Compiler

Compiled 1212 to 178 computations (85.3% saved)

regimes535.0ms (5.4%)

Accuracy

Total 0.4b remaining (96.5%)

Threshold costs 0.4b (96.5%)

Compiler

Compiled 3997 to 3045 computations (23.8% saved)

bsearch75.0ms (0.8%)

Steps

Iters	Range		Point
9	3.6792850415169296e-93	2.982601256373182e-84	1.1848155374706822e-84
8	-4.833075948551862e+45	-7.941549198491236e+40	-8.184093432363012e+43

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	55
1	41	55

end0.0ms (0%)

sample2.0s (19.8%)

Algorithm

1×

intervals

Results

457.0ms	8000×	body	128	valid
204.0ms	3716×	body	128	invalid

Compiler

Compiled 665 to 490 computations (26.3% saved)

Details

analyze1.6s (16.3%)

sample43.0ms (0.4%)

simplify105.0ms (1.1%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite87.0ms (0.9%)

series919.0ms (9.3%)

simplify76.0ms (0.8%)

prune112.0ms (1.1%)

localize10.0ms (0.1%)

rewrite88.0ms (0.9%)

series1.1s (11%)

simplify103.0ms (1%)

prune106.0ms (1.1%)

localize15.0ms (0.2%)

rewrite145.0ms (1.5%)

series1.5s (14.9%)

simplify68.0ms (0.7%)

prune455.0ms (4.6%)

localize8.0ms (0.1%)

rewrite62.0ms (0.6%)

series572.0ms (5.8%)

simplify91.0ms (0.9%)

prune60.0ms (0.6%)

regimes535.0ms (5.4%)

bsearch75.0ms (0.8%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.0s (19.8%)

Profiling