Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample18.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	pre	128	true
6.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	472	10
1	472	10

prune6.0ms (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

Merged error: 8.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.6b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cancel-sign-sub-inv_binary64` `associate-/l*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 58

Calls

2 calls:

15.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))

series125.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
59.0ms	(/.f64 x0 (-.f64 1 x1))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4952	940
1	4952	940

prune70.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Merged error: 6.7b

Counts

65 → 2

Compiler

Compiled 1183 to 760 computations (35.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
0.5b	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
1.0b	(/.f64 x0 (-.f64 1 x1))
6.1b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

rewrite84.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
34×	`add-sqr-sqrt_binary64`
23×	`times-frac_binary64`
18×	`add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-/r*_binary64` `difference-of-squares_binary64`
8×	`add-log-exp_binary64`
5×	`distribute-lft-out--_binary64`
4×	`pow1_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `cancel-sign-sub-inv_binary64` `div-exp_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 97

Calls

4 calls:

36.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
18.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
12.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
7.0ms	(/.f64 x0 (-.f64 1 x1))

series491.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

258.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
123.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
57.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
53.0ms	(/.f64 x0 (-.f64 1 x1))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5047	2277

prune157.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	109	2	111

Merged error: 5.6b

Counts

111 → 2

Compiler

Compiled 3568 to 2253 computations (36.9% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
1.0b	(pow.f64 (-.f64 1 x1) 3)
1.3b	(pow.f64 (-.f64 1 x1) 6)
4.4b	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))

rewrite153.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`add-sqr-sqrt_binary64`
66×	`difference-of-squares_binary64` `times-frac_binary64`
56×	`unpow-prod-down_binary64`
46×	`*-un-lft-identity_binary64`
44×	`sqr-pow_binary64`
34×	`cube-prod_binary64`
23×	`add-cube-cbrt_binary64`
12×	`cancel-sign-sub-inv_binary64`
8×	`add-exp-log_binary64` `distribute-lft-out--_binary64`
7×	`add-cbrt-cube_binary64`
6×	`pow-unpow_binary64` `associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64`
3×	`flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`pow-to-exp_binary64` `pow-pow_binary64` `associate-/r/_binary64` `cube-div_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 168

Calls

4 calls:

102.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
6.0ms	(/.f64 x0 (-.f64 1 x1))
6.0ms	(pow.f64 (-.f64 1 x1) 3)
6.0ms	(pow.f64 (-.f64 1 x1) 6)

series283.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

194.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
52.0ms	(/.f64 x0 (-.f64 1 x1))
19.0ms	(pow.f64 (-.f64 1 x1) 6)
18.0ms	(pow.f64 (-.f64 1 x1) 3)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4991	4060
1	4991	4060

prune586.0ms (7.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	180	2	182

Merged error: 3.9b

Counts

182 → 2

Compiler

Compiled 10656 to 6961 computations (34.7% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.3b	(pow.f64 (-.f64 1 x1) 6)
1.3b	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
2.0b	(pow.f64 (-.f64 1 x1) 12)
4.3b	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))

rewrite533.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Rules

607×	`add-sqr-sqrt_binary64`
496×	`unpow-prod-down_binary64`
380×	`cube-prod_binary64`
290×	`difference-of-squares_binary64`
258×	`times-frac_binary64`
240×	`sqr-pow_binary64`
51×	`*-un-lft-identity_binary64`
30×	`cancel-sign-sub-inv_binary64`
26×	`add-cube-cbrt_binary64`
10×	`distribute-lft-out--_binary64`
9×	`pow-unpow_binary64` `add-exp-log_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64`
4×	`add-cbrt-cube_binary64` `pow-exp_binary64`
3×	`pow-to-exp_binary64` `pow-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`difference-cubes_binary64` `sub-neg_binary64` `diff-log_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 406

Calls

4 calls:

369.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
10.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
6.0ms	(pow.f64 (-.f64 1 x1) 12)
6.0ms	(pow.f64 (-.f64 1 x1) 6)

series403.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
112.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
22.0ms	(pow.f64 (-.f64 1 x1) 12)
19.0ms	(pow.f64 (-.f64 1 x1) 6)

simplify202.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5093	17732

prune3.5s (43.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	416	2	418
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	416	4	420

Merged error: 3.9b

Counts

420 → 4

Compiler

Compiled 37503 to 26531 computations (29.3% saved)

regimes83.0ms (1%)

Compiler: Compiled 1164 to 899 computations (22.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	94	214
1	94	214

end0.0ms (0%)

sample939.0ms (11.8%)

Algorithm

1×

intervals

Results

226.0ms	8000×	pre	128	true
172.0ms	8000×	body	128	valid

Compiler

Compiled 492 to 371 computations (24.6% saved)

Details

analyze3.0ms (0%)

sample18.0ms (0.2%)

simplify46.0ms (0.6%)

prune6.0ms (0.1%)

localize5.0ms (0.1%)

rewrite26.0ms (0.3%)

series125.0ms (1.6%)

simplify59.0ms (0.7%)

prune70.0ms (0.9%)

localize10.0ms (0.1%)

rewrite84.0ms (1.1%)

series491.0ms (6.2%)

simplify64.0ms (0.8%)

prune157.0ms (2%)

localize22.0ms (0.3%)

rewrite153.0ms (1.9%)

series283.0ms (3.5%)

simplify69.0ms (0.9%)

prune586.0ms (7.3%)

localize36.0ms (0.5%)

rewrite533.0ms (6.7%)

series403.0ms (5.1%)

simplify202.0ms (2.5%)

prune3.5s (43.9%)

regimes83.0ms (1%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample939.0ms (11.8%)

Profiling