Details

Time bar (total: 5.8s)

analyze121.0ms (2.1%)

Algorithm
1×search
2×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)

sample15.0ms (0.3%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0129
1129

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
14.1b
Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 g (*.f64 2 a))
13.5b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite50.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
7×add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 cbrt-prod_binary64_3178
6×add-cube-cbrt_binary64_3182 add-sqr-sqrt_binary64_3169 times-frac_binary64_3153 *-un-lft-identity_binary64_3147
3×associate-/l*_binary64_3092
2×pow1_binary64_3208 add-log-exp_binary64_3186 div-inv_binary64_3144 div-exp_binary64_3198 cbrt-undiv_binary64_3181
1×pow1/3_binary64_3229 cbrt-div_binary64_3179 prod-exp_binary64_3196 cbrt-unprod_binary64_3180 frac-2neg_binary64_3158 clear-num_binary64_3146 associate-/r*_binary64_3091
Counts
2 → 37
Calls

2 calls:

4.0ms
(/.f64 g (*.f64 2 a))
3.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 429 to 291 computations (32.2% saved)

series298.0ms (5.1%)

Error
4.8b
Counts
2 → 12
Calls

2 calls:

229.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
59.0ms
(/.f64 g (*.f64 2 a))
Compiler

Compiled 348 to 318 computations (8.6% saved)

simplify98.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
05039504

prune51.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New391049
Fresh000
Picked101
Done000
Total401050
Error
0.1b
Counts
50 → 10
Compiler

Compiled 549 to 374 computations (31.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite94.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64_3178
35×add-sqr-sqrt_binary64_3169
21×add-cube-cbrt_binary64_3182 *-un-lft-identity_binary64_3147
20×times-frac_binary64_3153
16×associate-*r*_binary64_3087
6×unswap-sqr_binary64_3115 associate-*l*_binary64_3088
5×pow1_binary64_3208 add-exp-log_binary64_3185
4×pow1/3_binary64_3229
3×add-log-exp_binary64_3186 add-cbrt-cube_binary64_3183
2×cbrt-div_binary64_3179 div-inv_binary64_3144 pow-prod-down_binary64_3218
1×prod-exp_binary64_3196 cbrt-unprod_binary64_3180 associate-*r/_binary64_3089 *-commutative_binary64_3078
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)

series412.0ms (7.1%)

Error
0.1b
Counts
3 → 12
Calls

3 calls:

239.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
83.0ms
(cbrt.f64 (/.f64 1/2 a))
80.0ms
(cbrt.f64 g)
Compiler

Compiled 435 to 408 computations (6.2% saved)

simplify65.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051851121

prune98.0ms (1.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New731386
Fresh549
Picked101
Done000
Total791796
Error
0.0b
Counts
96 → 17
Compiler

Compiled 1294 to 870 computations (32.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite119.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64_3178
32×add-sqr-sqrt_binary64_3169
24×add-cube-cbrt_binary64_3182 *-un-lft-identity_binary64_3147
22×associate-*r*_binary64_3087
18×times-frac_binary64_3153
11×pow1_binary64_3208 add-exp-log_binary64_3185
7×pow1/3_binary64_3229 pow-prod-down_binary64_3218 associate-*l*_binary64_3088
5×add-cbrt-cube_binary64_3183
4×add-log-exp_binary64_3186 prod-exp_binary64_3196 cbrt-unprod_binary64_3180 unswap-sqr_binary64_3115
2×cbrt-div_binary64_3179 div-inv_binary64_3144 *-commutative_binary64_3078
1×associate-*r/_binary64_3089
Counts
4 → 94
Calls

4 calls:

10.0ms
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
7.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
2.0ms
(cbrt.f64 (/.f64 1 a))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1515 to 1083 computations (28.5% saved)

series505.0ms (8.7%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

254.0ms
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
96.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
73.0ms
(cbrt.f64 g)
70.0ms
(cbrt.f64 (/.f64 1 a))
Compiler

Compiled 594 to 561 computations (5.6% saved)

simplify85.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049531226
149531226

prune114.0ms (2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1045109
Fresh31316
Picked011
Done000
Total10719126
Error
0.0b
Counts
126 → 19
Compiler

Compiled 1724 to 1258 computations (27% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite189.0ms (3.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
100×cbrt-prod_binary64_3178
89×add-sqr-sqrt_binary64_3169
80×times-frac_binary64_3153
61×add-cube-cbrt_binary64_3182 *-un-lft-identity_binary64_3147
40×associate-*r*_binary64_3087
11×add-exp-log_binary64_3185
10×unswap-sqr_binary64_3115
6×pow1_binary64_3208 associate-/l*_binary64_3092 associate-/r*_binary64_3091 associate-*l*_binary64_3088
5×add-cbrt-cube_binary64_3183
4×add-log-exp_binary64_3186
2×pow1/3_binary64_3229 div-exp_binary64_3198 cbrt-undiv_binary64_3181 div-inv_binary64_3144 prod-exp_binary64_3196 cbrt-unprod_binary64_3180
1×frac-2neg_binary64_3158 clear-num_binary64_3146 pow-prod-down_binary64_3218 associate-*r/_binary64_3089 *-commutative_binary64_3078
Counts
4 → 152
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
5.0ms
(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 g)
Compiler

Compiled 2475 to 1393 computations (43.7% saved)

series502.0ms (8.6%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

248.0ms
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
92.0ms
(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
77.0ms
(cbrt.f64 a)
72.0ms
(cbrt.f64 g)
Compiler

Compiled 558 to 520 computations (6.8% saved)

simplify108.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
049642626
149642626

prune150.0ms (2.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1661167
Fresh11617
Picked011
Done011
Total16719186
Error
0.0b
Counts
186 → 19
Compiler

Compiled 2455 to 1431 computations (41.7% saved)

regimes799.0ms (13.8%)

Accuracy

Total 0.8b remaining (98.8%)

Threshold costs 0.8b (98.8%)

Compiler

Compiled 6533 to 5823 computations (10.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
1911

end0.0ms (0%)

sample1.9s (32.6%)

Algorithm
1×intervals
Results
218.0ms8000×body128valid
Compiler

Compiled 1223 to 1093 computations (10.6% saved)

Profiling

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