Details

analyze3.5s (18.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5056	1978
0	10	10
1	10	10

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

Symmetry

(sort y z)

(sort b c)

(sort j k)

Compiler

Compiled 32 to 30 computations (6.3% saved)

sample144.0ms (0.8%)

Algorithm

1×

intervals

Results

26.0ms	255×	body	128	invalid
25.0ms	256×	body	128	valid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify560.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (555.0ms)

Iter	Nodes	Cost
0	3064	43
1	3064	43

prune9.0ms (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

4.7b

Counts

2 → 2

Compiler

Compiled 89 to 85 computations (4.5% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.3b	(.f64 (.f64 j 27) k)
4.3b	(.f64 (.f64 (*.f64 x 18) y) z)
4.7b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite195.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

1.5b

Rules

37×	`pow1_binary64_18553` `add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
22×	`pow-prod-down_binary64_18563` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
12×	`associate-r_binary64_18432`
8×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
4×	`add-log-exp_binary64_18531` `associate-l_binary64_18433` `*-commutative_binary64_18423`

Counts

4 → 81

Calls

4 calls:

11.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
6.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3022 to 1787 computations (40.9% saved)

series614.0ms (3.3%)

Error

2.6b

Counts

4 → 33

Calls

4 calls:

260.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
133.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
80.0ms	(.f64 (.f64 j 27) k)
80.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 3069 to 2458 computations (19.9% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5354	1238

prune228.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	108	8	116

Error

1.5b

Counts

116 → 8

Compiler

Compiled 4070 to 2327 computations (42.8% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 18 (.f64 t (.f64 x (.f64 z y))))
0.3b	(.f64 (.f64 j 27) k)
4.1b	(.f64 x (.f64 z y))
4.8b	(.f64 t (.f64 x (*.f64 z y)))

rewrite197.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`pow1_binary64_18553` `add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
22×	`pow-prod-down_binary64_18563` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
10×	`associate-l_binary64_18433`
8×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
6×	`associate-r_binary64_18432`
4×	`add-log-exp_binary64_18531` `*-commutative_binary64_18423`

Counts

4 → 81

Calls

4 calls:

11.0ms	(.f64 18 (.f64 t (.f64 x (.f64 z y))))
10.0ms	(.f64 t (.f64 x (*.f64 z y)))
10.0ms	(.f64 x (.f64 z y))
9.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3022 to 1496 computations (50.5% saved)

series720.0ms (3.8%)

Error

1.5b

Counts

4 → 39

Calls

4 calls:

260.0ms	(.f64 18 (.f64 t (.f64 x (.f64 z y))))
236.0ms	(.f64 t (.f64 x (*.f64 z y)))
99.0ms	(.f64 x (.f64 z y))
66.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3627 to 2856 computations (21.3% saved)

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5004	1283

prune194.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	117	11	128

Error

0.0b

Counts

128 → 11

Compiler

Compiled 4343 to 2305 computations (46.9% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 (.f64 x 18) (.f64 z y)) t) (.f64 (.f64 a 4) t))
0.3b	(.f64 (.f64 j 27) k)
4.1b	(.f64 (.f64 x 18) (*.f64 z y))
4.7b	(.f64 (.f64 (.f64 x 18) (.f64 z y)) t)

rewrite206.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`pow1_binary64_18553` `add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
24×	`pow-prod-down_binary64_18563` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
7×	`associate-r_binary64_18432`
6×	`add-log-exp_binary64_18531` `add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
3×	`associate-l_binary64_18433` `*-commutative_binary64_18423`
1×	`diff-log_binary64_18584` `flip3--_binary64_18496` `sub-neg_binary64_18485` `flip--_binary64_18467` `cancel-sign-sub-inv_binary64_18458` `distribute-rgt-out--_binary64_18446`

Counts

4 → 80

Calls

4 calls:

17.0ms	(-.f64 (.f64 (.f64 (.f64 x 18) (.f64 z y)) t) (.f64 (.f64 a 4) t))
10.0ms	(.f64 (.f64 (.f64 x 18) (.f64 z y)) t)
7.0ms	(.f64 (.f64 x 18) (*.f64 z y))
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3116 to 1742 computations (44.1% saved)

series1.1s (5.8%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

493.0ms	(-.f64 (.f64 (.f64 (.f64 x 18) (.f64 z y)) t) (.f64 (.f64 a 4) t))
265.0ms	(.f64 (.f64 (.f64 x 18) (.f64 z y)) t)
183.0ms	(.f64 (.f64 x 18) (*.f64 z y))
73.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 4454 to 3508 computations (21.2% saved)

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4962	1857
1	4962	1857

prune238.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	134	11	145

Error

0.0b

Counts

145 → 11

Compiler

Compiled 4668 to 2563 computations (45.1% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.8b	(.f64 t (.f64 x (*.f64 z y)))
18.6b	(cbrt.f64 (.f64 t (.f64 x (*.f64 z y))))
18.6b	(cbrt.f64 (.f64 t (.f64 x (*.f64 z y))))
18.6b	(cbrt.f64 (.f64 t (.f64 x (*.f64 z y))))

rewrite122.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`pow1_binary64_18553` `add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
6×	`pow-prod-down_binary64_18563` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
5×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
4×	`add-log-exp_binary64_18531`
3×	`pow1/3_binary64_18574` `cbrt-prod_binary64_18523` `associate-l_binary64_18433`
1×	`associate-r_binary64_18432` `*-commutative_binary64_18423`

Counts

4 → 48

Calls

4 calls:

10.0ms	(.f64 t (.f64 x (*.f64 z y)))
9.0ms	(cbrt.f64 (.f64 t (.f64 x (*.f64 z y))))
6.0ms	(cbrt.f64 (.f64 t (.f64 x (*.f64 z y))))
5.0ms	(cbrt.f64 (.f64 t (.f64 x (*.f64 z y))))

Compiler

Compiled 2719 to 919 computations (66.2% saved)

series2.2s (11.7%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

631.0ms	(cbrt.f64 (.f64 t (.f64 x (*.f64 z y))))
605.0ms	(cbrt.f64 (.f64 t (.f64 x (*.f64 z y))))
599.0ms	(cbrt.f64 (.f64 t (.f64 x (*.f64 z y))))
264.0ms	(.f64 t (.f64 x (*.f64 z y)))

Compiler

Compiled 7884 to 4816 computations (38.9% saved)

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5026	1243

prune183.0ms (1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	96	11	107

Error

0.0b

Counts

107 → 11

Compiler

Compiled 5052 to 1716 computations (66% saved)

regimes2.5s (13.1%)

Accuracy

Total 3.2b remaining (92.8%)

Threshold costs 0b (0%)

Compiler

Compiled 26132 to 23541 computations (9.9% saved)

bsearch7.0ms (0%)

Compiler: Compiled 25 to 25 computations (0% saved)

simplify105.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	212	207
1	212	207

Remove

(sort b c)

(sort y z)

Compiler

Compiled 1112 to 744 computations (33.1% saved)

end0.0ms (0%)

sample5.4s (28.6%)

Algorithm

1×

intervals

Results

1.1s	8132×	body	128	invalid
828.0ms	8000×	body	128	valid

Compiler

Compiled 1860 to 1608 computations (13.5% saved)

Details

analyze3.5s (18.5%)

sample144.0ms (0.8%)

simplify560.0ms (3%)

prune9.0ms (0.1%)

localize31.0ms (0.2%)

rewrite195.0ms (1%)

series614.0ms (3.3%)

simplify86.0ms (0.5%)

prune228.0ms (1.2%)

localize27.0ms (0.1%)

rewrite197.0ms (1%)

series720.0ms (3.8%)

simplify79.0ms (0.4%)

prune194.0ms (1%)

localize35.0ms (0.2%)

rewrite206.0ms (1.1%)

series1.1s (5.8%)

simplify92.0ms (0.5%)

prune238.0ms (1.3%)

localize30.0ms (0.2%)

rewrite122.0ms (0.6%)

series2.2s (11.7%)

simplify90.0ms (0.5%)

prune183.0ms (1%)

regimes2.5s (13.1%)

bsearch7.0ms (0%)

simplify105.0ms (0.6%)

end0.0ms (0%)

sample5.4s (28.6%)

Profiling