Details

Time bar (total: 6.1s)

analyze125.0ms (2%)

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 (0.2%)

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
16.7b
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))
16.1b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite49.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
7×add-exp-log_binary64_5231 add-cbrt-cube_binary64_5229 cbrt-prod_binary64_5224
6×add-cube-cbrt_binary64_5228 add-sqr-sqrt_binary64_5215 times-frac_binary64_5199 *-un-lft-identity_binary64_5193
3×associate-/l*_binary64_5138
2×pow1_binary64_5254 add-log-exp_binary64_5232 div-inv_binary64_5190 div-exp_binary64_5244 cbrt-undiv_binary64_5227
1×pow1/3_binary64_5275 cbrt-div_binary64_5225 prod-exp_binary64_5242 cbrt-unprod_binary64_5226 frac-2neg_binary64_5204 clear-num_binary64_5192 associate-/r*_binary64_5137
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)

series313.0ms (5.1%)

Error
5.9b
Counts
2 → 12
Calls

2 calls:

248.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
54.0ms
(/.f64 g (*.f64 2 a))
Compiler

Compiled 348 to 318 computations (8.6% saved)

simplify96.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
05039504

prune50.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New391049
Fresh000
Picked101
Done000
Total401050
Error
0.2b
Counts
50 → 10
Compiler

Compiled 549 to 370 computations (32.6% 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)))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 (/.f64 1/2 a))

rewrite95.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64_5224
35×add-sqr-sqrt_binary64_5215
21×add-cube-cbrt_binary64_5228 *-un-lft-identity_binary64_5193
20×times-frac_binary64_5199
16×associate-*r*_binary64_5133
6×unswap-sqr_binary64_5161 associate-*l*_binary64_5134
5×pow1_binary64_5254 add-exp-log_binary64_5231
4×pow1/3_binary64_5275
3×add-log-exp_binary64_5232 add-cbrt-cube_binary64_5229
2×cbrt-div_binary64_5225 div-inv_binary64_5190 pow-prod-down_binary64_5264
1×prod-exp_binary64_5242 cbrt-unprod_binary64_5226 associate-*r/_binary64_5135 *-commutative_binary64_5124
Counts
3 → 74
Calls

3 calls:

13.0ms
(*.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)

series416.0ms (6.8%)

Error
0.2b
Counts
3 → 12
Calls

3 calls:

236.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
98.0ms
(cbrt.f64 (/.f64 1/2 a))
71.0ms
(cbrt.f64 g)
Compiler

Compiled 435 to 408 computations (6.2% saved)

simplify64.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051851121

prune97.0ms (1.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New721486
Fresh459
Picked101
Done000
Total771996
Error
0.0b
Counts
96 → 19
Compiler

Compiled 1313 to 883 computations (32.7% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite174.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
100×cbrt-prod_binary64_5224
89×add-sqr-sqrt_binary64_5215
80×times-frac_binary64_5199
61×add-cube-cbrt_binary64_5228 *-un-lft-identity_binary64_5193
40×associate-*r*_binary64_5133
11×add-exp-log_binary64_5231
10×unswap-sqr_binary64_5161
6×pow1_binary64_5254 associate-/l*_binary64_5138 associate-/r*_binary64_5137 associate-*l*_binary64_5134
5×add-cbrt-cube_binary64_5229
4×add-log-exp_binary64_5232
2×pow1/3_binary64_5275 div-exp_binary64_5244 cbrt-undiv_binary64_5227 div-inv_binary64_5190 prod-exp_binary64_5242 cbrt-unprod_binary64_5226
1×frac-2neg_binary64_5204 clear-num_binary64_5192 pow-prod-down_binary64_5264 associate-*r/_binary64_5135 *-commutative_binary64_5124
Counts
4 → 152
Calls

4 calls:

16.0ms
(*.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)

series497.0ms (8.1%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

240.0ms
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
99.0ms
(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
77.0ms
(cbrt.f64 a)
69.0ms
(cbrt.f64 g)
Compiler

Compiled 558 to 520 computations (6.8% saved)

simplify106.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049642626
149642626

prune162.0ms (2.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1643167
Fresh31518
Picked101
Done000
Total16818186
Error
0.0b
Counts
186 → 18
Compiler

Compiled 2713 to 1647 computations (39.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite80.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
22×cbrt-prod_binary64_5224 add-sqr-sqrt_binary64_5215
14×add-cube-cbrt_binary64_5228 *-un-lft-identity_binary64_5193
11×add-exp-log_binary64_5231
6×pow1_binary64_5254 associate-*l*_binary64_5134 associate-*r*_binary64_5133 times-frac_binary64_5199 associate-/r*_binary64_5137
5×add-cbrt-cube_binary64_5229
4×pow1/3_binary64_5275 add-log-exp_binary64_5232 unswap-sqr_binary64_5161
2×pow-prod-down_binary64_5264 prod-exp_binary64_5242 cbrt-unprod_binary64_5226 div-exp_binary64_5244 cbrt-undiv_binary64_5227
1×*-commutative_binary64_5124 frac-2neg_binary64_5204 clear-num_binary64_5192 div-inv_binary64_5190 associate-/l*_binary64_5138
Counts
4 → 77
Calls

4 calls:

7.0ms
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
6.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1006 to 542 computations (46.1% saved)

series517.0ms (8.4%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

252.0ms
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
97.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
79.0ms
(cbrt.f64 g)
76.0ms
(cbrt.f64 a)
Compiler

Compiled 546 to 508 computations (7% saved)

simplify105.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049561023
149561023

prune69.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New89392
Fresh51217
Picked011
Done000
Total9416110
Error
0b
Counts
110 → 16
Compiler

Compiled 1076 to 598 computations (44.4% saved)

regimes884.0ms (14.4%)

Accuracy

Total 0.8b remaining (98.6%)

Threshold costs 0.8b (98.6%)

Compiler

Compiled 7002 to 6131 computations (12.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
1911

end0.0ms (0%)

sample2.2s (35.5%)

Algorithm
1×intervals
Results
220.0ms8000×body128valid
Compiler

Compiled 1324 to 1161 computations (12.3% saved)

Profiling

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