Details

analyze264.0ms (6%)

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)

sample36.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	250×	body	128	valid
9.0ms	288×	pre	128	true
1.0ms	32×	body	128	nan
1.0ms	6×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify366.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (273.0ms)

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

28.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite40.0ms (0.9%)

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:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
12.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series230.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
66.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
35.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
15.0ms	(.f64 (.f64 3 a) c)

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5180	1823

prune129.0ms (2.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	71	18	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	18	90

Error

9.3b

Counts

90 → 18

Compiler

Compiled 2508 to 1544 computations (38.4% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune24.0ms (0.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	17	17
Picked	1	1
Done	0	0
Total	18	18

Error

9.3b

Counts

18 → 18

Compiler

Compiled 527 to 378 computations (28.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.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))

rewrite28.0ms (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:

11.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
4.0ms	(/.f64 (*.f64 a c) b)

series67.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
22.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
22.0ms	(/.f64 (*.f64 a c) b)

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune106.0ms (2.4%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	71	16	87
Fresh	0	16	16
Picked	1	0	1
Done	0	1	1
Total	72	33	105

Error

9.2b

Counts

105 → 33

Compiler

Compiled 1843 to 1108 computations (39.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 1 (*.f64 (/.f64 b c) -2))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_2162`
10×	`add-cbrt-cube_binary64_2160`
9×	`div-exp_binary64_2175`
6×	`prod-exp_binary64_2173`
4×	`cbrt-undiv_binary64_2158` `pow1_binary64_2185`
3×	`associate-/l_binary64_2069` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `1-exp_binary64_2168` `times-frac_binary64_2130` `-un-lft-identity_binary64_2124` `rec-exp_binary64_2174`
2×	`pow-flip_binary64_2198` `cbrt-unprod_binary64_2157`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `associate-/r/_binary64_2070` `associate-/r_binary64_2068` `add-log-exp_binary64_2163` `associate-l/_binary64_2067` `div-inv_binary64_2121` `inv-pow_binary64_2209` `frac-2neg_binary64_2135`

Counts

1 → 33

Calls

1 calls:

6.0ms

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

series17.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify102.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4846	295
1	4846	295

prune22.0ms (0.5%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	31	31
Picked	0	1	1
Done	1	0	1
Total	35	34	69

Error

9.2b

Counts

69 → 34

Compiler

Compiled 280 to 193 computations (31.1% saved)

regimes704.0ms (15.9%)

Accuracy

Total 6.2b remaining (40.2%)

Threshold costs 0b (0%)

Compiler

Compiled 5481 to 4171 computations (23.9% saved)

bsearch3.0ms (0.1%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample2.1s (48.1%)

Algorithm

1×

intervals

Results

396.0ms	7688×	body	128	valid
278.0ms	9006×	pre	128	true
54.0ms	1006×	body	128	nan
30.0ms	312×	body	256	valid

Compiler

Compiled 1171 to 884 computations (24.5% saved)

Details

analyze264.0ms (6%)

sample36.0ms (0.8%)

simplify366.0ms (8.3%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite40.0ms (0.9%)

series230.0ms (5.2%)

simplify62.0ms (1.4%)

prune129.0ms (2.9%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune24.0ms (0.5%)

localize7.0ms (0.2%)

rewrite28.0ms (0.6%)

series67.0ms (1.5%)

simplify53.0ms (1.2%)

prune106.0ms (2.4%)

localize5.0ms (0.1%)

rewrite8.0ms (0.2%)

series17.0ms (0.4%)

simplify102.0ms (2.3%)

prune22.0ms (0.5%)

regimes704.0ms (15.9%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.1s (48.1%)

Profiling