Details

Time bar (total: 5.7s)

analyze123.0ms (2.2%)

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)

sample16.0ms (0.3%)

Algorithm
1×intervals
Results
7.0ms256×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
15.1b
Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

14.8b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite27.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
7×cbrt-prod_binary64_2155
3×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 times-frac_binary64_2130 *-un-lft-identity_binary64_2124
1×pow1/3_binary64_2206 pow1_binary64_2185 add-log-exp_binary64_2163 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 cbrt-div_binary64_2156 div-inv_binary64_2121
Counts
1 → 16
Calls

1 calls:

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

Compiled 194 to 140 computations (27.8% saved)

series246.0ms (4.3%)

Error
4.9b
Counts
1 → 6
Calls

1 calls:

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

Compiled 240 to 227 computations (5.4% saved)

simplify103.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
04788281
14788281

prune29.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New14822
Fresh000
Picked011
Done000
Total14923
Error
0.2b
Counts
23 → 9
Compiler

Compiled 307 to 226 computations (26.4% 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)))
0.5b
(cbrt.f64 (/.f64 1/2 a))
0.6b
(cbrt.f64 g)

rewrite92.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64_2155
35×add-sqr-sqrt_binary64_2146
21×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
20×times-frac_binary64_2130
16×associate-*r*_binary64_2064
6×unswap-sqr_binary64_2092 associate-*l*_binary64_2065
5×pow1_binary64_2185 add-exp-log_binary64_2162
4×pow1/3_binary64_2206
3×add-log-exp_binary64_2163 add-cbrt-cube_binary64_2160
2×cbrt-div_binary64_2156 div-inv_binary64_2121 pow-prod-down_binary64_2195
1×prod-exp_binary64_2173 cbrt-unprod_binary64_2157 associate-*r/_binary64_2066 *-commutative_binary64_2055
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)

series411.0ms (7.2%)

Error
0.2b
Counts
3 → 12
Calls

3 calls:

242.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
85.0ms
(cbrt.f64 (/.f64 1/2 a))
74.0ms
(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 (48.0ms)

IterNodesCost
051851121

prune95.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New731386
Fresh437
Picked101
Done011
Total781795
Error
0.0b
Counts
95 → 17
Compiler

Compiled 1268 to 846 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0b
(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
1.0b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

rewrite139.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
51×cbrt-prod_binary64_2155
34×add-sqr-sqrt_binary64_2146
26×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
18×times-frac_binary64_2130
11×pow1_binary64_2185
9×pow1/3_binary64_2206
6×add-exp-log_binary64_2162 swap-sqr_binary64_2091 associate-*l*_binary64_2065 associate-*r*_binary64_2064
4×add-log-exp_binary64_2163 add-cbrt-cube_binary64_2160 unswap-sqr_binary64_2092
2×pow-prod-down_binary64_2195 pow-prod-up_binary64_2194 pow-sqr_binary64_2097
1×pow2_binary64_2205 pow-plus_binary64_2187 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 *-commutative_binary64_2055 cbrt-div_binary64_2156 div-inv_binary64_2121
Counts
4 → 91
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
4.0ms
(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
3.0ms
(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1946 to 1596 computations (18% saved)

series208.0ms (3.7%)

Error
0.0b
Counts
4 → 6
Calls

4 calls:

126.0ms
(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
74.0ms
(cbrt.f64 g)
0.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
0.0ms
(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
Compiler

Compiled 351 to 339 computations (3.4% saved)

simplify96.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
05032977

prune134.0ms (2.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New94397
Fresh21315
Picked011
Done011
Total9618114
Error
0.0b
Counts
114 → 18
Compiler

Compiled 2050 to 1684 computations (17.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.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))

rewrite122.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64_2155
32×add-sqr-sqrt_binary64_2146
24×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
22×associate-*r*_binary64_2064
18×times-frac_binary64_2130
11×pow1_binary64_2185 add-exp-log_binary64_2162
7×pow1/3_binary64_2206 pow-prod-down_binary64_2195 associate-*l*_binary64_2065
5×add-cbrt-cube_binary64_2160
4×add-log-exp_binary64_2163 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 unswap-sqr_binary64_2092
2×cbrt-div_binary64_2156 div-inv_binary64_2121 *-commutative_binary64_2055
1×associate-*r/_binary64_2066
Counts
4 → 94
Calls

4 calls:

13.0ms
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
6.0ms
(*.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)

series501.0ms (8.8%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

239.0ms
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
99.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
75.0ms
(cbrt.f64 (/.f64 1 a))
75.0ms
(cbrt.f64 g)
Compiler

Compiled 594 to 561 computations (5.6% saved)

simplify88.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049531226
149531226

prune95.0ms (1.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1081109
Fresh11415
Picked101
Done022
Total11017127
Error
0.0b
Counts
127 → 17
Compiler

Compiled 1470 to 1034 computations (29.7% saved)

regimes999.0ms (17.5%)

Accuracy

Total 0.8b remaining (98.3%)

Threshold costs 0.8b (98.3%)

Compiler

Compiled 6990 to 6387 computations (8.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01314
11314

end0.0ms (0%)

sample2.1s (36.2%)

Algorithm
1×intervals
Results
226.0ms8000×body128valid
Compiler

Compiled 1333 to 1222 computations (8.3% saved)

Profiling

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