Details

Time bar (total: 4.2s)

analyze260.0ms (6.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
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)

sample52.0ms (1.2%)

Algorithm
1×intervals
Results
18.0ms126×body320valid
9.0ms95×body160valid
8.0ms283×pre80true
4.0ms12×body640valid
1.0ms27×body80nan
1.0ms23×body80valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify412.0ms (9.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (397.0ms)

IterNodesCost
0180324
1180324

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 54.5b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.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))
0.3b
(*.f64 (*.f64 3 a) c)
27.1b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite40.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
13×*-un-lft-identity_binary64
9×pow1_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64
4×cbrt-unprod_binary64 prod-exp_binary64 insert-posit16
3×pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 distribute-lft-out--_binary64 flip--_binary64 sqrt-prod_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 associate-*l*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 77
Calls

4 calls:

16.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
10.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
6.0ms
(*.f64 (*.f64 3 a) c)
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series447.0ms (10.6%)

Counts
4 → 12
Calls

4 calls:

218.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
126.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
68.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
35.0ms
(*.f64 (*.f64 3 a) c)

simplify128.0ms (3%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
049341877
149341877

prune134.0ms (3.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090

Merged error: 2.3b

Counts
90 → 10
Compiler

Compiled 2237 to 1355 computations (39.4% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify19.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
000

prune12.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New000
Fresh099
Picked011
Done000
Total01010

Merged error: 2.3b

Counts
10 → 10
Compiler

Compiled 251 to 180 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))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite29.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64 add-cbrt-cube_binary64
17×cbrt-unprod_binary64 prod-exp_binary64
16×cbrt-undiv_binary64 div-exp_binary64
10×add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×associate-*r*_binary64 times-frac_binary64
5×pow1_binary64
4×associate-/r*_binary64
3×add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64 insert-posit16
2×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 81
Calls

3 calls:

11.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
9.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
6.0ms
(/.f64 (*.f64 a c) b)

series134.0ms (3.2%)

Counts
3 → 9
Calls

3 calls:

53.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
42.0ms
(/.f64 (*.f64 a c) b)
38.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify89.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04947904
14947904

prune90.0ms (2.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New81990
Fresh088
Picked101
Done011
Total8218100

Merged error: 2.3b

Counts
100 → 18
Compiler

Compiled 1485 to 846 computations (43% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b
(*.f64 (*.f64 -3/2 a) (/.f64 c b))
0.4b
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))

rewrite24.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
55×add-exp-log_binary64 add-cbrt-cube_binary64
23×cbrt-unprod_binary64 prod-exp_binary64
16×cbrt-undiv_binary64 div-exp_binary64
13×associate-*r*_binary64
10×times-frac_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
7×pow1_binary64
3×pow-prod-down_binary64
2×add-log-exp_binary64 associate-*r/_binary64 div-inv_binary64 insert-posit16
1×associate-/l/_binary64 associate-/r*_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 *-commutative_binary64
Counts
2 → 69
Calls

2 calls:

12.0ms
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))
9.0ms
(*.f64 (*.f64 -3/2 a) (/.f64 c b))

series92.0ms (2.2%)

Counts
2 → 6
Calls

2 calls:

48.0ms
(*.f64 (*.f64 -3/2 a) (/.f64 c b))
44.0ms
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))

simplify155.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (130.0ms)

IterNodesCost
04938802
14938802

prune52.0ms (1.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New71475
Fresh11516
Picked101
Done011
Total732093

Merged error: 2.3b

Counts
93 → 20
Compiler

Compiled 880 to 498 computations (43.4% saved)

regimes166.0ms (3.9%)

Compiler

Compiled 1820 to 1316 computations (27.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample1.9s (43.9%)

Algorithm
1×intervals
Results
523.0ms3663×body320valid
279.0ms2953×body160valid
267.0ms8813×pre80true
94.0ms493×body640valid
47.0ms891×body80valid
39.0ms813×body80nan
Compiler

Compiled 487 to 355 computations (27.1% saved)

Profiling

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