Details

analyze630.0ms (12.5%)

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify209.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	704	13
1	704	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
4.8b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_15581`
16×	`*-un-lft-identity_binary64_15559`
14×	`add-cube-cbrt_binary64_15594`
13×	`associate-l_binary64_15500`
12×	`cancel-sign-sub-inv_binary64_15525`
10×	`times-frac_binary64_15565`
8×	`associate-+l+_binary64_15492` `distribute-lft-in_binary64_15508` `distribute-rgt-in_binary64_15509`
7×	`add-cbrt-cube_binary64_15595` `add-exp-log_binary64_15597`
5×	`associate-r_binary64_15499`
4×	`sub-neg_binary64_15552` `pow1_binary64_15620` `add-log-exp_binary64_15598`
2×	`frac-times_binary64_15569` `flip--_binary64_15534` `prod-exp_binary64_15608` `associate-*r/_binary64_15501` `flip3--_binary64_15563` `cbrt-unprod_binary64_15592` `unswap-sqr_binary64_15527`
1×	`distribute-lft-out--_binary64_15511` `flip3-+_binary64_15562` `difference-of-squares_binary64_15528` `flip-+_binary64_15533` `div-inv_binary64_15556` `pow-prod-down_binary64_15630` `cbrt-undiv_binary64_15593` `+-commutative_binary64_15489` `div-exp_binary64_15610` `associate-l/_binary64_15502` `sum-log_binary64_15650` `-commutative_binary64_15490`

Counts

2 → 65

Calls

2 calls:

11.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
11.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

series198.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

120.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
77.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5047	1022

prune197.0ms (3.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

Compiler

Compiled 3691 to 1931 computations (47.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
1.1b	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
4.0b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

rewrite79.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

136×	`cbrt-div_binary64_15591`
98×	`frac-times_binary64_15569`
68×	`flip--_binary64_15534` `flip3--_binary64_15563`
50×	`associate-*r/_binary64_15501`
37×	`associate-*l/_binary64_15502`
34×	`add-exp-log_binary64_15597`
24×	`add-sqr-sqrt_binary64_15581`
21×	`add-cbrt-cube_binary64_15595` `*-un-lft-identity_binary64_15559`
18×	`pow1_binary64_15620`
17×	`prod-exp_binary64_15608` `cbrt-unprod_binary64_15592`
15×	`cbrt-prod_binary64_15590` `add-cube-cbrt_binary64_15594`
14×	`associate-l_binary64_15500`
10×	`times-frac_binary64_15565`
9×	`pow-prod-down_binary64_15630` `associate-r_binary64_15499`
4×	`cbrt-undiv_binary64_15593` `add-log-exp_binary64_15598` `div-exp_binary64_15610`
3×	`distribute-lft-out--_binary64_15511` `difference-of-squares_binary64_15528`
2×	`pow1/3_binary64_15641` `*-commutative_binary64_15490` `unswap-sqr_binary64_15527`
1×	`div-inv_binary64_15556`

Counts

4 → 164

Calls

4 calls:

29.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
18.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))

series827.0ms (16.5%)

Counts

4 → 12

Calls

4 calls:

270.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
216.0ms	(cbrt.f64 (-.f64 z t))
202.0ms	(cbrt.f64 (-.f64 z t))
138.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))

simplify93.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	5263
1	4961	5263

prune186.0ms (3.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	176	7	183

Merged error: 0.0b

Counts

183 → 7

Compiler

Compiled 5479 to 1340 computations (75.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
9.9b	(cbrt.f64 (/.f64 x y))
9.9b	(cbrt.f64 (/.f64 x y))
9.9b	(cbrt.f64 (/.f64 x y))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-div_binary64_15591` `cbrt-prod_binary64_15590`
29×	`frac-times_binary64_15569`
27×	`times-frac_binary64_15565`
25×	`*-un-lft-identity_binary64_15559` `add-sqr-sqrt_binary64_15581` `add-cube-cbrt_binary64_15594`
17×	`associate-*l/_binary64_15502`
16×	`pow1_binary64_15620` `add-exp-log_binary64_15597`
15×	`associate-*r/_binary64_15501`
10×	`add-cbrt-cube_binary64_15595`
8×	`flip--_binary64_15534` `prod-exp_binary64_15608` `pow-prod-down_binary64_15630` `flip3--_binary64_15563` `cbrt-unprod_binary64_15592`
4×	`add-log-exp_binary64_15598`
3×	`div-inv_binary64_15556` `pow1/3_binary64_15641`
1×	`associate-r_binary64_15499` `associate-l_binary64_15500` `*-commutative_binary64_15490`

Counts

4 → 111

Calls

4 calls:

21.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
3.0ms	(cbrt.f64 (/.f64 x y))
3.0ms	(cbrt.f64 (/.f64 x y))
3.0ms	(cbrt.f64 (/.f64 x y))

series413.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
101.0ms	(cbrt.f64 (/.f64 x y))
90.0ms	(cbrt.f64 (/.f64 x y))
87.0ms	(cbrt.f64 (/.f64 x y))

simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4938	1985
1	4938	1985

prune114.0ms (2.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	123	7	130

Merged error: 0.0b

Counts

130 → 7

Compiler

Compiled 3125 to 771 computations (75.3% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 x)
1.3b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 x) (-.f64 z t))) (cbrt.f64 y))
2.9b	(.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 x) (-.f64 z t)))
9.9b	(cbrt.f64 (/.f64 x y))

rewrite56.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-exp-log_binary64_15597`
35×	`cbrt-prod_binary64_15590`
29×	`*-un-lft-identity_binary64_15559` `add-sqr-sqrt_binary64_15581` `add-cube-cbrt_binary64_15594`
24×	`times-frac_binary64_15565`
21×	`associate-l_binary64_15500`
18×	`prod-exp_binary64_15608`
16×	`distribute-lft-in_binary64_15508` `distribute-rgt-in_binary64_15509` `unpow-prod-down_binary64_15638`
13×	`add-cbrt-cube_binary64_15595`
12×	`cancel-sign-sub-inv_binary64_15525`
8×	`associate-*r/_binary64_15501`
7×	`div-exp_binary64_15610`
6×	`associate-/r*_binary64_15503` `cbrt-unprod_binary64_15592`
4×	`sub-neg_binary64_15552` `pow1_binary64_15620` `pow-exp_binary64_15627` `add-log-exp_binary64_15598` `pow-to-exp_binary64_15628`
3×	`div-inv_binary64_15556` `cbrt-undiv_binary64_15593`
2×	`flip--_binary64_15534` `pow1/3_binary64_15641` `flip3--_binary64_15563` `associate-/l/_binary64_15506`
1×	`frac-2neg_binary64_15570` `cbrt-div_binary64_15591` `associate-/l_binary64_15504` `unpow2_binary64_15624` `associate-r_binary64_15499` `clear-num_binary64_15558` `sqr-pow_binary64_15531` `-commutative_binary64_15490`

Counts

4 → 124

Calls

4 calls:

20.0ms	(.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 x) (-.f64 z t)))
19.0ms	(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 x) (-.f64 z t))) (cbrt.f64 y))
3.0ms	(cbrt.f64 (/.f64 x y))
1.0ms	(cbrt.f64 x)

series668.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

298.0ms	(.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 x) (-.f64 z t)))
157.0ms	(cbrt.f64 x)
117.0ms	(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 x) (-.f64 z t))) (cbrt.f64 y))
95.0ms	(cbrt.f64 (/.f64 x y))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5205	2874

prune130.0ms (2.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	136	7	143

Merged error: 0.0b

Counts

143 → 7

Compiler

Compiled 3356 to 1198 computations (64.3% saved)

regimes91.0ms (1.8%)

Compiler: Compiled 632 to 484 computations (23.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample775.0ms (15.4%)

Algorithm

1×

intervals

Results

282.0ms	8000×	body	128	valid
67.0ms	2030×	body	128	invalid

Compiler

Compiled 154 to 109 computations (29.2% saved)

Details

analyze630.0ms (12.5%)

sample21.0ms (0.4%)

simplify209.0ms (4.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite27.0ms (0.5%)

series198.0ms (3.9%)

simplify63.0ms (1.2%)

prune197.0ms (3.9%)

localize11.0ms (0.2%)

rewrite79.0ms (1.6%)

series827.0ms (16.5%)

simplify93.0ms (1.8%)

prune186.0ms (3.7%)

localize11.0ms (0.2%)

rewrite42.0ms (0.8%)

series413.0ms (8.2%)

simplify98.0ms (2%)

prune114.0ms (2.3%)

localize15.0ms (0.3%)

rewrite56.0ms (1.1%)

series668.0ms (13.3%)

simplify57.0ms (1.1%)

prune130.0ms (2.6%)

regimes91.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample775.0ms (15.4%)

Profiling