Details

analyze1.4s (10.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4927	176
1	4927	176
0	5	5
1	5	5

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	255×	body	128	valid
1.0ms	24×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify252.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (246.0ms)

Iter	Nodes	Cost
0	4787	16
1	4787	16

prune12.0ms (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

9.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
0.0b	(*.f64 (-.f64 y z) t)
9.2b	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

rewrite116.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
10×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
7×	`add-cube-cbrt_binary64_16822`
5×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `times-frac_binary64_16793` `associate-/r_binary64_16731` `associate-l*_binary64_16728`
4×	`associate-*l/_binary64_16730`
3×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739` `flip3--_binary64_16791` `flip--_binary64_16762` `associate-r_binary64_16727`
2×	`prod-exp_binary64_16836` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `associate-/l_binary64_16732` `pow-prod-down_binary64_16858` `unswap-sqr_binary64_16755` `-commutative_binary64_16718` `sum-log_binary64_16878` `flip3-+_binary64_16790` `flip-+_binary64_16761` `distribute-lft-out_binary64_16738` `+-commutative_binary64_16717`

Counts

3 → 63

Calls

3 calls:

18.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
9.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
8.0ms	(*.f64 (-.f64 y z) t)

Compiler

Compiled 1199 to 289 computations (75.9% saved)

series1.0s (8%)

Error

0.2b

Counts

3 → 80

Calls

3 calls:

543.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
314.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
113.0ms	(*.f64 (-.f64 y z) t)

Compiler

Compiled 3630 to 2104 computations (42% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4970	2501
1	4970	2501

prune136.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	138	5	143
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	6	144

Error

0.0b

Counts

144 → 6

Compiler

Compiled 2363 to 476 computations (79.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.1b	(*.f64 t (/.f64 (-.f64 y z) (-.f64 a z)))
5.2b	(cbrt.f64 (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
5.2b	(cbrt.f64 (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
5.2b	(cbrt.f64 (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))

rewrite158.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`add-sqr-sqrt_binary64_16809`
36×	`*-un-lft-identity_binary64_16787`
31×	`associate-r_binary64_16727`
26×	`times-frac_binary64_16793`
16×	`add-cube-cbrt_binary64_16822`
10×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
9×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
6×	`pow1_binary64_16848`
4×	`add-log-exp_binary64_16826` `associate-*r/_binary64_16729`
3×	`pow1/3_binary64_16869` `cbrt-div_binary64_16819` `cbrt-prod_binary64_16818` `associate-l_binary64_16728`
2×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755` `associate-/r/_binary64_16733`
1×	`pow-prod-down_binary64_16858` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `div-inv_binary64_16784` `flip3--_binary64_16791` `flip--_binary64_16762` `*-commutative_binary64_16718`

Counts

4 → 80

Calls

4 calls:

21.0ms	(*.f64 t (/.f64 (-.f64 y z) (-.f64 a z)))
9.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
9.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
9.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))

Compiler

Compiled 3441 to 476 computations (86.2% saved)

series2.7s (21%)

Error

0.0b

Counts

4 → 102

Calls

4 calls:

771.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
712.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
659.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
356.0ms	(*.f64 t (/.f64 (-.f64 y z) (-.f64 a z)))

Compiler

Compiled 14604 to 7492 computations (48.7% saved)

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4984	5702
1	4984	5702

prune265.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	182	6	188

Error

0.0b

Counts

188 → 6

Compiler

Compiled 8685 to 1432 computations (83.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
0.0b	(/.f64 (-.f64 a z) t)
11.8b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

rewrite252.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

200×	`times-frac_binary64_16793`
173×	`*-un-lft-identity_binary64_16787`
171×	`add-sqr-sqrt_binary64_16809`
87×	`add-cube-cbrt_binary64_16822`
42×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
22×	`associate-/r*_binary64_16731`
10×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `associate-/l*_binary64_16732`
8×	`div-inv_binary64_16784`
5×	`add-log-exp_binary64_16826`
4×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `associate-/l/_binary64_16734`
3×	`pow1_binary64_16848` `div-sub_binary64_16792`
2×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `flip3--_binary64_16791` `flip--_binary64_16762`
1×	`associate-/r/_binary64_16733` `sum-log_binary64_16878` `flip3-+_binary64_16790` `flip-+_binary64_16761` `distribute-lft-out_binary64_16738` `associate-+r-_binary64_16721` `+-commutative_binary64_16717`

Counts

3 → 188

Calls

3 calls:

46.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
21.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))
6.0ms	(/.f64 (-.f64 a z) t)

Compiler

Compiled 4306 to 922 computations (78.6% saved)

series1.1s (8.5%)

Error

0.0b

Counts

3 → 80

Calls

3 calls:

552.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
310.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))
175.0ms	(/.f64 (-.f64 a z) t)

Compiler

Compiled 3636 to 2121 computations (41.7% saved)

simplify139.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4997	6430
1	4997	6430

prune197.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	268	6	274

Error

0.0b

Counts

274 → 6

Compiler

Compiled 5383 to 837 computations (84.5% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))
4.4b	(/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (cbrt.f64 (-.f64 a z)) t))

rewrite549.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

440×	`times-frac_binary64_16793`
318×	`add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
295×	`cbrt-prod_binary64_16818`
200×	`add-cube-cbrt_binary64_16822`
59×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
28×	`associate-/r*_binary64_16731`
10×	`div-inv_binary64_16784`
9×	`add-exp-log_binary64_16825`
8×	`cbrt-div_binary64_16819` `associate-/l*_binary64_16732`
6×	`add-cbrt-cube_binary64_16823`
4×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `flip3--_binary64_16791` `flip--_binary64_16762`
3×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `pow1/3_binary64_16869`
2×	`associate-/l/_binary64_16734`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `associate-/r/_binary64_16733`

Counts

4 → 322

Calls

4 calls:

18.0ms	(/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (cbrt.f64 (-.f64 a z)) t))
4.0ms	(cbrt.f64 (-.f64 y z))
4.0ms	(cbrt.f64 (-.f64 y z))
3.0ms	(cbrt.f64 (-.f64 y z))

Compiler

Compiled 15398 to 2020 computations (86.9% saved)

series1.2s (9.1%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

829.0ms	(/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (cbrt.f64 (-.f64 a z)) t))
97.0ms	(cbrt.f64 (-.f64 y z))
89.0ms	(cbrt.f64 (-.f64 y z))
87.0ms	(cbrt.f64 (-.f64 y z))

Compiler

Compiled 6283 to 3431 computations (45.4% saved)

simplify202.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

370 → 370

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4984	12481
1	4984	12481

prune473.0ms (3.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	370	0	370
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	370	6	376

Error

0.0b

Counts

376 → 6

Compiler

Compiled 17028 to 2083 computations (87.8% saved)

regimes718.0ms (5.5%)

Accuracy

Total 1.2b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 6574 to 4856 computations (26.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	52
1	33	52

end0.0ms (0%)

sample1.8s (14%)

Algorithm

1×

intervals

Results

368.0ms	7998×	body	128	valid
36.0ms	761×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 1001 to 722 computations (27.9% saved)

Details

analyze1.4s (10.5%)

sample26.0ms (0.2%)

simplify252.0ms (1.9%)

prune12.0ms (0.1%)

localize17.0ms (0.1%)

rewrite116.0ms (0.9%)

series1.0s (8%)

simplify89.0ms (0.7%)

prune136.0ms (1%)

localize13.0ms (0.1%)

rewrite158.0ms (1.2%)

series2.7s (21%)

simplify109.0ms (0.8%)

prune265.0ms (2%)

localize8.0ms (0.1%)

rewrite252.0ms (1.9%)

series1.1s (8.5%)

simplify139.0ms (1.1%)

prune197.0ms (1.5%)

localize24.0ms (0.2%)

rewrite549.0ms (4.2%)

series1.2s (9.1%)

simplify202.0ms (1.6%)

prune473.0ms (3.6%)

regimes718.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (14%)

Profiling