Details

analyze2.9s (33.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	691	638
1	691	638
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

(sort c i)

Compiler

Compiled 16 to 16 computations (0% saved)

sample99.0ms (1.1%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
10.0ms	181×	body	128	invalid

Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

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

0.0b

Counts

2 → 1

Compiler

Compiled 30 to 30 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

rewrite50.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-log-exp_binary64_2163`
9×	`sum-log_binary64_2215`
2×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `flip3-+_binary64_2127` `*-un-lft-identity_binary64_2124` `flip-+_binary64_2098` `associate-+l+_binary64_2057` `+-commutative_binary64_2054`

Counts

2 → 27

Calls

2 calls:

18.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Compiler

Compiled 740 to 109 computations (85.3% saved)

series941.0ms (10.7%)

Error

0.0b

Counts

2 → 84

Calls

2 calls:

532.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
353.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Compiler

Compiled 2462 to 1748 computations (29% saved)

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4904	1846
1	4904	1846

prune94.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	2	112

Error

0.0b

Counts

112 → 2

Compiler

Compiled 1604 to 124 computations (92.3% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 t z) (.f64 a b))
0.0b	(sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
0.0b	(sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
0.2b	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))

rewrite205.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_2146`
24×	`sqrt-prod_binary64_2140`
21×	`pow1_binary64_2185`
16×	`sqrt-div_binary64_2141`
14×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142`
9×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
8×	`swap-sqr_binary64_2091`
6×	`add-exp-log_binary64_2162` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `associate-l_binary64_2065` `associate-r_binary64_2064`
5×	`pow-prod-up_binary64_2194`
4×	`rem-sqrt-square_binary64_2137` `frac-times_binary64_2134` `unswap-sqr_binary64_2092`
3×	`pow-prod-down_binary64_2195` `pow-sqr_binary64_2097`
2×	`associate-l/_binary64_2067` `associate-r/_binary64_2066`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `sqrt-unprod_binary64_2144` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `*-commutative_binary64_2055` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 99

Calls

4 calls:

31.0ms	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
14.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
11.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
8.0ms	(+.f64 (.f64 t z) (.f64 a b))

Compiler

Compiled 4409 to 440 computations (90% saved)

series1.2s (13.3%)

Error

0.0b

Counts

4 → 108

Calls

4 calls:

373.0ms	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
279.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
251.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
178.0ms	(+.f64 (.f64 t z) (.f64 a b))

Compiler

Compiled 7206 to 3864 computations (46.4% saved)

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4939	3696
1	4939	3696

prune174.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	207	2	209

Error

0.0b

Counts

209 → 2

Compiler

Compiled 5668 to 572 computations (89.9% saved)

regimes674.0ms (7.7%)

Accuracy

Total 0.0b remaining (24.4%)

Threshold costs 0.0b (24.4%)

Compiler

Compiled 5581 to 4628 computations (17.1% saved)

bsearch0.0ms (0%)

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 120 to 120 computations (0% saved)

end0.0ms (0%)

sample2.1s (24.3%)

Algorithm

1×

intervals

Results

474.0ms	8000×	body	128	valid
355.0ms	5463×	body	128	invalid

Compiler

Compiled 396 to 329 computations (16.9% saved)

Details

analyze2.9s (33.1%)

sample99.0ms (1.1%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite50.0ms (0.6%)

series941.0ms (10.7%)

simplify78.0ms (0.9%)

prune94.0ms (1.1%)

localize26.0ms (0.3%)

rewrite205.0ms (2.3%)

series1.2s (13.3%)

simplify115.0ms (1.3%)

prune174.0ms (2%)

regimes674.0ms (7.7%)

bsearch0.0ms (0%)

simplify98.0ms (1.1%)

end0.0ms (0%)

sample2.1s (24.3%)

Profiling