Details

analyze504.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample80.0ms (1%)

Algorithm

1×

intervals

Results

20.0ms	120×	body	256	valid
19.0ms	291×	pre	128	true
15.0ms	56×	body	512	valid
7.0ms	80×	body	128	valid
3.0ms	35×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify698.0ms (8.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (532.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 52.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.2b	(.f64 (.f64 3 a) c)
22.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite76.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2146`
14×	`add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
9×	`pow1_binary64_2185`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `associate-/l*_binary64_2069` `times-frac_binary64_2130`
4×	`cancel-sign-sub-inv_binary64_2090` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `distribute-lft-out--_binary64_2076` `sqrt-prod_binary64_2140` `associate-r_binary64_2064`
2×	`cbrt-undiv_binary64_2158` `diff-log_binary64_2216` `sub-neg_binary64_2117` `associate-/l/_binary64_2071` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `-commutative_binary64_2055` `associate-/r_binary64_2068` `associate-l_binary64_2065` `div-sub_binary64_2129` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 77

Calls

4 calls:

28.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
10.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
9.0ms	(.f64 (.f64 3 a) c)

series410.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
108.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
62.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
23.0ms	(.f64 (.f64 3 a) c)

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5180	1823

prune257.0ms (3.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	78	11	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	11	90

Merged error: 2.7b

Counts

90 → 11

Compiler

Compiled 2314 to 1404 computations (39.3% saved)

localize7.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune28.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	0	0
Total	11	11

Merged error: 2.7b

Counts

11 → 11

Compiler

Compiled 333 to 237 computations (28.8% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (*.f64 a c) b)
0.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
17×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
16×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
10×	`add-sqr-sqrt_binary64_2146`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`associate-r_binary64_2064` `times-frac_binary64_2130`
5×	`pow1_binary64_2185`
4×	`associate-/r*_binary64_2068`
3×	`add-log-exp_binary64_2163` `associate-l_binary64_2065` `div-inv_binary64_2121`
2×	`clear-num_binary64_2123` `associate-/l_binary64_2069` `associate-r/_binary64_2066` `frac-2neg_binary64_2135`
1×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `associate-/l/_binary64_2071`

Counts

3 → 78

Calls

3 calls:

15.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
12.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
7.0ms	(/.f64 (*.f64 a c) b)

series97.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

37.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
31.0ms	(/.f64 (*.f64 a c) b)
29.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune159.0ms (2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	77	10	87
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	78	20	98

Merged error: 2.7b

Counts

98 → 20

Compiler

Compiled 1532 to 894 computations (41.6% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.6b	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
0.8b	(pow.f64 (/.f64 c b) 3)

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`times-frac_binary64_2130`
17×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
13×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
5×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`pow-unpow_binary64_2201` `pow1_binary64_2185`
2×	`pow-exp_binary64_2192` `add-log-exp_binary64_2163` `cube-div_binary64_2153` `div-inv_binary64_2121` `rem-cube-cbrt_binary64_2147`
1×	`unpow3_binary64_2190` `cbrt-div_binary64_2156` `cbrt-undiv_binary64_2158` `cube-mult_binary64_2154` `pow-pow_binary64_2196` `pow1/3_binary64_2206` `sqr-pow_binary64_2096` `cbrt-prod_binary64_2155` `pow-to-exp_binary64_2193` `associate-*r/_binary64_2066` `div-exp_binary64_2175`

Counts

2 → 56

Calls

2 calls:

11.0ms	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
9.0ms	(pow.f64 (/.f64 c b) 3)

series101.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
44.0ms	(pow.f64 (/.f64 c b) 3)

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5091	693

prune92.0ms (1.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	5	13	18
Picked	1	0	1
Done	0	1	1
Total	64	18	82

Merged error: 2.7b

Counts

82 → 18

Compiler

Compiled 749 to 441 computations (41.1% saved)

regimes797.0ms (10.1%)

Compiler: Compiled 5091 to 3886 computations (23.7% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample4.2s (53%)

Algorithm

1×

intervals

Results

715.0ms	3764×	body	256	valid
522.0ms	8786×	pre	128	true
424.0ms	1513×	body	512	valid
259.0ms	2723×	body	128	valid
71.0ms	786×	body	128	nan

Compiler

Compiled 1093 to 827 computations (24.3% saved)

Details

analyze504.0ms (6.4%)

sample80.0ms (1%)

simplify698.0ms (8.8%)

prune6.0ms (0.1%)

localize19.0ms (0.2%)

rewrite76.0ms (1%)

series410.0ms (5.2%)

simplify115.0ms (1.5%)

prune257.0ms (3.2%)

localize7.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify11.0ms (0.1%)

prune28.0ms (0.3%)

localize15.0ms (0.2%)

rewrite48.0ms (0.6%)

series97.0ms (1.2%)

simplify90.0ms (1.1%)

prune159.0ms (2%)

localize13.0ms (0.2%)

rewrite27.0ms (0.3%)

series101.0ms (1.3%)

simplify56.0ms (0.7%)

prune92.0ms (1.2%)

regimes797.0ms (10.1%)

bsearch7.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample4.2s (53%)

Profiling