Details

analyze490.0ms (10.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

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)

sample43.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	120×	body	256	valid
9.0ms	292×	pre	128	true
5.0ms	39×	body	512	valid
5.0ms	97×	body	128	valid
2.0ms	36×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify281.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (276.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (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

Error

52.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.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)
29.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite40.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_2146`
15×	`*-un-lft-identity_binary64_2124`
14×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`pow1_binary64_2185`
9×	`add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `associate-/l*_binary64_2069` `sqrt-prod_binary64_2140` `add-log-exp_binary64_2163` `times-frac_binary64_2130`
4×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `distribute-lft-out--_binary64_2076` `associate-r_binary64_2064`
2×	`cbrt-undiv_binary64_2158` `sqrt-div_binary64_2141` `associate-/l/_binary64_2071` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `sqrt-pow1_binary64_2142` `-commutative_binary64_2055` `associate-/r_binary64_2068` `diff-log_binary64_2216` `rem-sqrt-square_binary64_2137` `associate-l_binary64_2065` `pow1/2_binary64_2204` `sub-neg_binary64_2117` `div-sub_binary64_2129` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 80

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
9.0ms	(.f64 (.f64 3 a) c)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series258.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
67.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
61.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
15.0ms	(.f64 (.f64 3 a) c)

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5038	1907

prune142.0ms (3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	81	11	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	11	93

Error

3.1b

Counts

93 → 11

Compiler

Compiled 2375 to 1433 computations (39.7% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune17.0ms (0.4%)

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

Error

3.1b

Counts

11 → 11

Compiler

Compiled 313 to 220 computations (29.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (*.f64 a c) b)
0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite27.0ms (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:

9.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)

series68.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

27.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
21.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
21.0ms	(/.f64 (*.f64 a c) b)

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune96.0ms (2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	75	12	87
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	76	22	98

Error

3.1b

Counts

98 → 22

Compiler

Compiled 1547 to 898 computations (42% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (*.f64 a c) b)
0.2b	(/.f64 (.f64 (/.f64 (.f64 a c) b) -1/2) a)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
6×	`associate-/r_binary64_2068` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `times-frac_binary64_2130` `-un-lft-identity_binary64_2124`
5×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`clear-num_binary64_2123` `associate-/l*_binary64_2069` `pow1_binary64_2185` `add-log-exp_binary64_2163` `div-inv_binary64_2121` `frac-2neg_binary64_2135`
1×	`associate-*l/_binary64_2067` `associate-/l/_binary64_2071`

Counts

2 → 47

Calls

2 calls:

7.0ms	(/.f64 (.f64 (/.f64 (.f64 a c) b) -1/2) a)
4.0ms	(/.f64 (*.f64 a c) b)

series46.0ms (1%)

Counts

2 → 6

Calls

2 calls:

24.0ms	(/.f64 (.f64 (/.f64 (.f64 a c) b) -1/2) a)
22.0ms	(/.f64 (*.f64 a c) b)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5202	520

prune34.0ms (0.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	4	16	20
Picked	1	0	1
Done	0	1	1
Total	52	23	75

Error

3.1b

Counts

75 → 23

Compiler

Compiled 562 to 252 computations (55.2% saved)

regimes533.0ms (11.1%)

Accuracy

Total 3.5b remaining (55.9%)

Threshold costs 0b (0%)

Compiler

Compiled 6281 to 4691 computations (25.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample2.5s (52.1%)

Algorithm

1×

intervals

Results

363.0ms	3750×	body	256	valid
274.0ms	8849×	pre	128	true
201.0ms	1436×	body	512	valid
142.0ms	2814×	body	128	valid
39.0ms	849×	body	128	nan

Compiler

Compiled 1282 to 960 computations (25.1% saved)

Details

analyze490.0ms (10.2%)

sample43.0ms (0.9%)

simplify281.0ms (5.9%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite40.0ms (0.8%)

series258.0ms (5.4%)

simplify60.0ms (1.2%)

prune142.0ms (3%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune17.0ms (0.4%)

localize8.0ms (0.2%)

rewrite27.0ms (0.6%)

series68.0ms (1.4%)

simplify52.0ms (1.1%)

prune96.0ms (2%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series46.0ms (1%)

simplify58.0ms (1.2%)

prune34.0ms (0.7%)

regimes533.0ms (11.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (52.1%)

Profiling