Details

Time bar (total: 6.0s)

analyze121.0ms (2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02018
12018
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 7 to 7 computations (0% saved)

sample17.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0129
1129

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.9b
Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

13.7b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite28.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.2b
Rules
cbrt-prod_binary64_2837
add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 times-frac_binary64_2812 *-un-lft-identity_binary64_2806
pow1/3_binary64_2888 pow1_binary64_2867 add-log-exp_binary64_2845 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 cbrt-div_binary64_2838 div-inv_binary64_2803
Counts
1 → 16
Calls

1 calls:

3.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 194 to 140 computations (27.8% saved)

series237.0ms (4%)

Error
4.1b
Counts
1 → 6
Calls

1 calls:

231.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 240 to 227 computations (5.4% saved)

simplify104.0ms (1.7%)

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
04788281
14788281

prune29.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New15722
Fresh000
Picked011
Done000
Total15823
Error
0.2b
Counts
23 → 8
Compiler

Compiled 300 to 219 computations (27% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
0.5b
(cbrt.f64 (*.f64 a 2))
0.6b
(cbrt.f64 g)

rewrite80.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×cbrt-prod_binary64_2837
24×times-frac_binary64_2812
21×add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806
associate-/l*_binary64_2751
add-exp-log_binary64_2844
associate-/r*_binary64_2750
pow1_binary64_2867 add-log-exp_binary64_2845 add-cbrt-cube_binary64_2842
pow1/3_binary64_2888
div-exp_binary64_2857 cbrt-undiv_binary64_2840 frac-2neg_binary64_2817 clear-num_binary64_2805 div-inv_binary64_2803
Counts
3 → 66
Calls

3 calls:

4.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
2.0ms
(cbrt.f64 (*.f64 a 2))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 932 to 554 computations (40.6% saved)

series454.0ms (7.6%)

Error
0.2b
Counts
3 → 12
Calls

3 calls:

275.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
93.0ms
(cbrt.f64 (*.f64 a 2))
76.0ms
(cbrt.f64 g)
Compiler

Compiled 423 to 396 computations (6.4% saved)

simplify78.0ms (1.3%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049451160
149451160

prune88.0ms (1.5%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New651378
Fresh336
Picked011
Done011
Total681886
Error
0.0b
Counts
86 → 18
Compiler

Compiled 1191 to 774 computations (35% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 1 (cbrt.f64 (*.f64 a 2)))
0.4b
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 a 2))))
0.5b
(cbrt.f64 (*.f64 a 2))
0.6b
(cbrt.f64 g)

rewrite124.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
38×add-sqr-sqrt_binary64_2828
28×times-frac_binary64_2812
26×*-un-lft-identity_binary64_2806
24×add-cube-cbrt_binary64_2841
17×add-exp-log_binary64_2844 cbrt-prod_binary64_2837
16×associate-*r*_binary64_2746
pow1_binary64_2867 add-cbrt-cube_binary64_2842
unswap-sqr_binary64_2774 associate-*l*_binary64_2747
add-log-exp_binary64_2845 div-exp_binary64_2857 prod-exp_binary64_2855 associate-/r*_binary64_2750
pow1/3_binary64_2888 associate-/l*_binary64_2751
1-exp_binary64_2850 rec-exp_binary64_2856 cbrt-unprod_binary64_2839 cbrt-undiv_binary64_2840 div-inv_binary64_2803 pow-flip_binary64_2880
pow-prod-down_binary64_2877 un-div-inv_binary64_2804 associate-*r/_binary64_2748 *-commutative_binary64_2737 inv-pow_binary64_2891 frac-2neg_binary64_2817 clear-num_binary64_2805
Counts
4 → 101
Calls

4 calls:

11.0ms
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 a 2))))
4.0ms
(/.f64 1 (cbrt.f64 (*.f64 a 2)))
2.0ms
(cbrt.f64 (*.f64 a 2))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1583 to 1150 computations (27.4% saved)

series580.0ms (9.7%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

279.0ms
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 a 2))))
113.0ms
(/.f64 1 (cbrt.f64 (*.f64 a 2)))
94.0ms
(cbrt.f64 (*.f64 a 2))
81.0ms
(cbrt.f64 g)
Compiler

Compiled 576 to 540 computations (6.3% saved)

simplify69.0ms (1.2%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
053191413

prune111.0ms (1.8%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1151116
Fresh11415
Picked011
Done022
Total11618134
Error
0.0b
Counts
134 → 18
Compiler

Compiled 1728 to 1240 computations (28.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.4b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 (/.f64 1/2 a))

rewrite91.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64_2837
35×add-sqr-sqrt_binary64_2828
21×add-cube-cbrt_binary64_2841 *-un-lft-identity_binary64_2806
20×times-frac_binary64_2812
16×associate-*r*_binary64_2746
unswap-sqr_binary64_2774 associate-*l*_binary64_2747
pow1_binary64_2867 add-exp-log_binary64_2844
pow1/3_binary64_2888
add-log-exp_binary64_2845 add-cbrt-cube_binary64_2842
cbrt-div_binary64_2838 div-inv_binary64_2803 pow-prod-down_binary64_2877
prod-exp_binary64_2855 cbrt-unprod_binary64_2839 associate-*r/_binary64_2748 *-commutative_binary64_2737
Counts
3 → 74
Calls

3 calls:

10.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms
(cbrt.f64 (/.f64 1/2 a))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1018 to 641 computations (37% saved)

series415.0ms (6.9%)

Error
0.0b
Counts
3 → 12
Calls

3 calls:

237.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
93.0ms
(cbrt.f64 (/.f64 1/2 a))
76.0ms
(cbrt.f64 g)
Compiler

Compiled 435 to 408 computations (6.2% saved)

simplify64.0ms (1.1%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
051851121

prune76.0ms (1.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New80686
Fresh5914
Picked101
Done213
Total8816104
Error
0.0b
Counts
104 → 16
Compiler

Compiled 1060 to 666 computations (37.2% saved)

regimes912.0ms (15.2%)

Accuracy

Total 0.8b remaining (98.8%)

Threshold costs 0.8b (98.8%)

Compiler

Compiled 7695 to 6692 computations (13% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
1911

end0.0ms (0%)

sample2.3s (38%)

Algorithm
intervals
Results
232.0ms8000×body128valid
Compiler

Compiled 1472 to 1281 computations (13% saved)

Profiling

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