Details

Time bar (total: 5.5s)

analyze24.0ms (0.4%)

Algorithm
1×search
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
7.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify102.0ms (1.8%)

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
18.8b
Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

18.3b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite23.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
7×cbrt-prod_binary64_4201
3×add-cube-cbrt_binary64_4205 add-sqr-sqrt_binary64_4192 times-frac_binary64_4176 *-un-lft-identity_binary64_4170
1×pow1/3_binary64_4252 pow1_binary64_4231 add-log-exp_binary64_4209 add-exp-log_binary64_4208 add-cbrt-cube_binary64_4206 cbrt-div_binary64_4202 div-inv_binary64_4167
Counts
1 → 16
Calls

1 calls:

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

Compiled 194 to 140 computations (27.8% saved)

series228.0ms (4.1%)

Error
8.2b
Counts
1 → 6
Calls

1 calls:

220.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 240 to 227 computations (5.4% saved)

simplify103.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
04788281
14788281

prune26.0ms (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 308 to 225 computations (26.9% 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 g)
0.6b
(cbrt.f64 (*.f64 a 2))

rewrite79.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
26×cbrt-prod_binary64_4201
24×times-frac_binary64_4176
21×add-cube-cbrt_binary64_4205 add-sqr-sqrt_binary64_4192 *-un-lft-identity_binary64_4170
6×associate-/l*_binary64_4115
5×add-exp-log_binary64_4208
4×associate-/r*_binary64_4114
3×pow1_binary64_4231 add-log-exp_binary64_4209 add-cbrt-cube_binary64_4206
2×pow1/3_binary64_4252
1×div-exp_binary64_4221 cbrt-undiv_binary64_4204 frac-2neg_binary64_4181 clear-num_binary64_4169 div-inv_binary64_4167
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)

series440.0ms (8%)

Error
0.2b
Counts
3 → 12
Calls

3 calls:

260.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
90.0ms
(cbrt.f64 (*.f64 a 2))
82.0ms
(cbrt.f64 g)
Compiler

Compiled 423 to 396 computations (6.4% saved)

simplify81.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049451160
149451160

prune83.0ms (1.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New661278
Fresh336
Picked101
Done011
Total701686
Error
0.1b
Counts
86 → 16
Compiler

Compiled 1173 to 760 computations (35.2% 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 g)
0.6b
(cbrt.f64 (/.f64 1/2 a))

rewrite88.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64_4201
35×add-sqr-sqrt_binary64_4192
21×add-cube-cbrt_binary64_4205 *-un-lft-identity_binary64_4170
20×times-frac_binary64_4176
16×associate-*r*_binary64_4110
6×unswap-sqr_binary64_4138 associate-*l*_binary64_4111
5×pow1_binary64_4231 add-exp-log_binary64_4208
4×pow1/3_binary64_4252
3×add-log-exp_binary64_4209 add-cbrt-cube_binary64_4206
2×cbrt-div_binary64_4202 div-inv_binary64_4167 pow-prod-down_binary64_4241
1×prod-exp_binary64_4219 cbrt-unprod_binary64_4203 associate-*r/_binary64_4112 *-commutative_binary64_4101
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)

series406.0ms (7.3%)

Error
0.1b
Counts
3 → 12
Calls

3 calls:

237.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
84.0ms
(cbrt.f64 (/.f64 1/2 a))
77.0ms
(cbrt.f64 g)
Compiler

Compiled 435 to 408 computations (6.2% saved)

simplify64.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
051851121

prune87.0ms (1.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New81586
Fresh41014
Picked101
Done011
Total8616102
Error
0.0b
Counts
102 → 16
Compiler

Compiled 1238 to 813 computations (34.3% 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))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 a)

rewrite174.0ms (3.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
100×cbrt-prod_binary64_4201
89×add-sqr-sqrt_binary64_4192
80×times-frac_binary64_4176
61×add-cube-cbrt_binary64_4205 *-un-lft-identity_binary64_4170
40×associate-*r*_binary64_4110
11×add-exp-log_binary64_4208
10×unswap-sqr_binary64_4138
6×pow1_binary64_4231 associate-/l*_binary64_4115 associate-/r*_binary64_4114 associate-*l*_binary64_4111
5×add-cbrt-cube_binary64_4206
4×add-log-exp_binary64_4209
2×pow1/3_binary64_4252 div-exp_binary64_4221 cbrt-undiv_binary64_4204 div-inv_binary64_4167 prod-exp_binary64_4219 cbrt-unprod_binary64_4203
1×frac-2neg_binary64_4181 clear-num_binary64_4169 pow-prod-down_binary64_4241 associate-*r/_binary64_4112 *-commutative_binary64_4101
Counts
4 → 152
Calls

4 calls:

15.0ms
(*.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)

series509.0ms (9.2%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

236.0ms
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
102.0ms
(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
85.0ms
(cbrt.f64 a)
71.0ms
(cbrt.f64 g)
Compiler

Compiled 558 to 520 computations (6.8% saved)

simplify108.0ms (2%)

Algorithm
1×egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049642626
149642626

prune144.0ms (2.6%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1643167
Fresh11314
Picked011
Done011
Total16518183
Error
0.0b
Counts
183 → 18
Compiler

Compiled 2455 to 1431 computations (41.7% saved)

regimes785.0ms (14.2%)

Accuracy

Total 0.8b remaining (99%)

Threshold costs 0.8b (99%)

Compiler

Compiled 6866 to 5863 computations (14.6% 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 (35%)

Algorithm
1×intervals
Results
219.0ms8000×body128valid
Compiler

Compiled 1309 to 1118 computations (14.6% saved)

Profiling

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