Details

analyze1.0s (8.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	70
1	228	70
0	4	4
1	4	4

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
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 8 to 8 computations (0% saved)

sample39.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	52×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune2.0ms (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

13.4b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

12.9b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

13×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
4×	`prod-exp_binary64_3196` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180`
1×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `frac-2neg_binary64_3158` `times-frac_binary64_3153` `-un-lft-identity_binary64_3147` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/l_binary64_3092` `associate-/r*_binary64_3091`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 291 to 77 computations (73.5% saved)

series305.0ms (2.6%)

Error

13.4b

Counts

1 → 12

Calls

1 calls:

304.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 175 to 175 computations (0% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5076	370

prune14.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

0.1b

Counts

34 → 3

Compiler

Compiled 158 to 53 computations (66.5% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

4.7b	(*.f64 a2 (/.f64 a1 b1))
6.2b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite74.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_3169`
16×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
13×	`times-frac_binary64_3153` `associate-r_binary64_3087`
12×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
5×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181`
4×	`pow1_binary64_3208` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
3×	`associate-/r_binary64_3091` `associate-l*_binary64_3088`
2×	`add-log-exp_binary64_3186` `div-inv_binary64_3144` `associate-*r/_binary64_3089` `unswap-sqr_binary64_3115`
1×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `associate-/l/_binary64_3094` `associate-/l_binary64_3092` `pow-prod-down_binary64_3218` `-commutative_binary64_3078`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 a2 (/.f64 a1 b1))
6.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

Compiler

Compiled 736 to 212 computations (71.2% saved)

series590.0ms (5.1%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

354.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
233.0ms	(*.f64 a2 (/.f64 a1 b1))

Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify150.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4965	800
1	4965	800

prune82.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	7	80

Error

0.0b

Counts

80 → 7

Compiler

Compiled 586 to 199 computations (66% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 b2)
0.6b	(cbrt.f64 b2)
1.9b	(/.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (cbrt.f64 b2))
8.5b	(.f64 (/.f64 a1 b1) (/.f64 a2 (.f64 (cbrt.f64 b2) (cbrt.f64 b2))))

rewrite310.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

54×	`add-exp-log_binary64_3185`
39×	`add-cbrt-cube_binary64_3183`
29×	`add-sqr-sqrt_binary64_3169`
22×	`times-frac_binary64_3153`
21×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181`
19×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
16×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
13×	`associate-l_binary64_3088`
12×	`cbrt-prod_binary64_3178`
7×	`associate-r_binary64_3087`
6×	`pow1_binary64_3208` `associate-/r*_binary64_3091`
4×	`add-log-exp_binary64_3186` `unswap-sqr_binary64_3115`
3×	`div-inv_binary64_3144` `associate-/l/_binary64_3094`
2×	`frac-times_binary64_3157` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `pow1/3_binary64_3229`
1×	`pow-prod-down_binary64_3218` `-commutative_binary64_3078` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `associate-/l_binary64_3092`

Counts

4 → 110

Calls

4 calls:

21.0ms	(.f64 (/.f64 a1 b1) (/.f64 a2 (.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
21.0ms	(/.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (cbrt.f64 b2))
2.0ms	(cbrt.f64 b2)
2.0ms	(cbrt.f64 b2)

Compiler

Compiled 2361 to 406 computations (82.8% saved)

series2.1s (18.4%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

1.4s	(.f64 (/.f64 a1 b1) (/.f64 a2 (.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
354.0ms	(/.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (cbrt.f64 b2))
194.0ms	(cbrt.f64 b2)
175.0ms	(cbrt.f64 b2)

Compiler

Compiled 904 to 788 computations (12.8% saved)

simplify171.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5015	1861

prune126.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	139	8	147

Error

0.0b

Counts

147 → 8

Compiler

Compiled 1546 to 549 computations (64.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 b2)
1.4b	(/.f64 (/.f64 a1 b1) (cbrt.f64 b2))
1.9b	(/.f64 (*.f64 (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)) (/.f64 a2 (cbrt.f64 b2))) (cbrt.f64 b2))
6.1b	(*.f64 (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)) (/.f64 a2 (cbrt.f64 b2)))

rewrite507.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

325×	`times-frac_binary64_3153`
226×	`add-sqr-sqrt_binary64_3169`
168×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
110×	`cbrt-prod_binary64_3178`
82×	`associate-l_binary64_3088`
59×	`add-exp-log_binary64_3185`
36×	`add-cbrt-cube_binary64_3183`
28×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181`
22×	`associate-r_binary64_3087`
17×	`div-inv_binary64_3144`
15×	`unswap-sqr_binary64_3115`
14×	`associate-/l*_binary64_3092`
12×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-/r*_binary64_3091`
6×	`pow1_binary64_3208`
4×	`add-log-exp_binary64_3186` `associate-/l/_binary64_3094`
2×	`frac-times_binary64_3157` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `frac-2neg_binary64_3158` `clear-num_binary64_3146`
1×	`pow-prod-down_binary64_3218` `*-commutative_binary64_3078` `pow1/3_binary64_3229`

Counts

4 → 306

Calls

4 calls:

45.0ms	(*.f64 (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)) (/.f64 a2 (cbrt.f64 b2)))
16.0ms	(/.f64 (*.f64 (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)) (/.f64 a2 (cbrt.f64 b2))) (cbrt.f64 b2))
7.0ms	(/.f64 (/.f64 a1 b1) (cbrt.f64 b2))
1.0ms	(cbrt.f64 b2)

Compiler

Compiled 7553 to 1434 computations (81% saved)

series2.0s (17.4%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

1.0s	(*.f64 (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)) (/.f64 a2 (cbrt.f64 b2)))
537.0ms	(/.f64 (/.f64 a1 b1) (cbrt.f64 b2))
333.0ms	(/.f64 (*.f64 (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)) (/.f64 a2 (cbrt.f64 b2))) (cbrt.f64 b2))
122.0ms	(cbrt.f64 b2)

Compiler

Compiled 1118 to 965 computations (13.7% saved)

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Counts

342 → 342

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4991	6734
1	4991	6734

prune361.0ms (3.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	341	1	342
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	341	9	350

Error

0.0b

Counts

350 → 9

Compiler

Compiled 6296 to 1453 computations (76.9% saved)

regimes1.2s (10.5%)

Accuracy

Total 2.5b remaining (99.1%)

Threshold costs 0b (0%)

Compiler

Compiled 6563 to 4747 computations (27.7% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	127
1	38	127

end45.0ms (0.4%)

Compiler: Compiled 425 to 160 computations (62.4% saved)

sample2.1s (18.5%)

Algorithm

1×

intervals

Results

388.0ms	8000×	body	128	valid
83.0ms	1813×	body	128	invalid

Compiler

Compiled 199 to 147 computations (26.1% saved)

Details

analyze1.0s (8.7%)

sample39.0ms (0.3%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite33.0ms (0.3%)

series305.0ms (2.6%)

simplify71.0ms (0.6%)

prune14.0ms (0.1%)

localize6.0ms (0%)

rewrite74.0ms (0.6%)

series590.0ms (5.1%)

simplify150.0ms (1.3%)

prune82.0ms (0.7%)

localize19.0ms (0.2%)

rewrite310.0ms (2.7%)

series2.1s (18.4%)

simplify171.0ms (1.5%)

prune126.0ms (1.1%)

localize10.0ms (0.1%)

rewrite507.0ms (4.4%)

series2.0s (17.4%)

simplify112.0ms (1%)

prune361.0ms (3.1%)

regimes1.2s (10.5%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end45.0ms (0.4%)

sample2.1s (18.5%)

Profiling