Details

analyze1.1s (9.9%)

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)

sample35.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	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

prune3.0ms (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 (0.1%)

Local error

Found 1 expressions with local error:

12.9b

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

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

13×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`prod-exp_binary64_2173` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `cbrt-unprod_binary64_2157`
1×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `frac-2neg_binary64_2135` `times-frac_binary64_2130` `-un-lft-identity_binary64_2124` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l_binary64_2069` `associate-/r*_binary64_2068`

Counts

1 → 21

Calls

1 calls:

6.0ms

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

Compiler

Compiled 291 to 77 computations (73.5% saved)

series299.0ms (2.7%)

Error

13.4b

Counts

1 → 12

Calls

1 calls:

297.0ms

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

Compiler

Compiled 175 to 175 computations (0% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (67.0ms)

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 (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite65.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_2146`
16×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
13×	`times-frac_binary64_2130` `associate-r_binary64_2064`
12×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
5×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
4×	`pow1_binary64_2185` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`associate-/r_binary64_2068` `associate-l*_binary64_2065`
2×	`add-log-exp_binary64_2163` `div-inv_binary64_2121` `associate-*r/_binary64_2066` `unswap-sqr_binary64_2092`
1×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l/_binary64_2071` `associate-/l_binary64_2069` `pow-prod-down_binary64_2195` `-commutative_binary64_2055`

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)

series459.0ms (4.1%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

307.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
151.0ms	(*.f64 a2 (/.f64 a1 b1))

Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4965	800
1	4965	800

prune42.0ms (0.4%)

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)

localize11.0ms (0.1%)

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))))

rewrite154.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

54×	`add-exp-log_binary64_2162`
39×	`add-cbrt-cube_binary64_2160`
29×	`add-sqr-sqrt_binary64_2146`
22×	`times-frac_binary64_2130`
21×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
19×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
16×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
13×	`associate-l_binary64_2065`
12×	`cbrt-prod_binary64_2155`
7×	`associate-r_binary64_2064`
6×	`pow1_binary64_2185` `associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092`
3×	`div-inv_binary64_2121` `associate-/l/_binary64_2071`
2×	`frac-times_binary64_2134` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `pow1/3_binary64_2206`
1×	`pow-prod-down_binary64_2195` `-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l_binary64_2069`

Counts

4 → 110

Calls

4 calls:

13.0ms	(.f64 (/.f64 a1 b1) (/.f64 a2 (.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
12.0ms	(/.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (cbrt.f64 b2))
1.0ms	(cbrt.f64 b2)
1.0ms	(cbrt.f64 b2)

Compiler

Compiled 2361 to 406 computations (82.8% saved)

series1.6s (14.5%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

1.0s	(.f64 (/.f64 a1 b1) (/.f64 a2 (.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
360.0ms	(/.f64 (.f64 (/.f64 a1 b1) (/.f64 a2 (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (cbrt.f64 b2))
129.0ms	(cbrt.f64 b2)
121.0ms	(cbrt.f64 b2)

Compiler

Compiled 904 to 788 computations (12.8% saved)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5015	1861

prune91.0ms (0.8%)

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)

localize11.0ms (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)))

rewrite454.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

325×	`times-frac_binary64_2130`
226×	`add-sqr-sqrt_binary64_2146`
168×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
110×	`cbrt-prod_binary64_2155`
82×	`associate-l_binary64_2065`
59×	`add-exp-log_binary64_2162`
36×	`add-cbrt-cube_binary64_2160`
28×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
22×	`associate-r_binary64_2064`
17×	`div-inv_binary64_2121`
15×	`unswap-sqr_binary64_2092`
14×	`associate-/l*_binary64_2069`
12×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-/r*_binary64_2068`
6×	`pow1_binary64_2185`
4×	`add-log-exp_binary64_2163` `associate-/l/_binary64_2071`
2×	`frac-times_binary64_2134` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`pow-prod-down_binary64_2195` `*-commutative_binary64_2055` `pow1/3_binary64_2206`

Counts

4 → 306

Calls

4 calls:

44.0ms	(*.f64 (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)) (/.f64 a2 (cbrt.f64 b2)))
17.0ms	(/.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)

series2.2s (19.5%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

1.0s	(*.f64 (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)) (/.f64 a2 (cbrt.f64 b2)))
632.0ms	(/.f64 (/.f64 a1 b1) (cbrt.f64 b2))
356.0ms	(/.f64 (*.f64 (/.f64 (/.f64 a1 b1) (cbrt.f64 b2)) (/.f64 a2 (cbrt.f64 b2))) (cbrt.f64 b2))
175.0ms	(cbrt.f64 b2)

Compiler

Compiled 1118 to 965 computations (13.7% saved)

simplify216.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

342 → 342

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4991	6734
1	4991	6734

prune499.0ms (4.4%)

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)

regimes1.8s (16%)

Accuracy

Total 2.5b remaining (99.1%)

Threshold costs 0b (0%)

Compiler

Compiled 5093 to 3781 computations (25.8% saved)

bsearch4.0ms (0%)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	122
1	33	122

end83.0ms (0.7%)

Compiler: Compiled 410 to 135 computations (67.1% saved)

sample1.7s (15.4%)

Algorithm

1×

intervals

Results

327.0ms	8000×	body	128	valid
79.0ms	1813×	body	128	invalid

Compiler

Compiled 196 to 142 computations (27.6% saved)

Details

analyze1.1s (9.9%)

sample35.0ms (0.3%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite39.0ms (0.3%)

series299.0ms (2.7%)

simplify77.0ms (0.7%)

prune14.0ms (0.1%)

localize6.0ms (0.1%)

rewrite65.0ms (0.6%)

series459.0ms (4.1%)

simplify84.0ms (0.7%)

prune42.0ms (0.4%)

localize11.0ms (0.1%)

rewrite154.0ms (1.4%)

series1.6s (14.5%)

simplify97.0ms (0.9%)

prune91.0ms (0.8%)

localize11.0ms (0.1%)

rewrite454.0ms (4%)

series2.2s (19.5%)

simplify216.0ms (1.9%)

prune499.0ms (4.4%)

regimes1.8s (16%)

bsearch4.0ms (0%)

simplify6.0ms (0.1%)

end83.0ms (0.7%)

sample1.7s (15.4%)

Profiling