Details

Time bar (total: 2.1s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.8%0.1%0.1%12
99.8%0%0.1%13
99.8%0%0.2%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample12.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify166.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0127
1127

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 24 to 24 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 841/108 x) 4/29)
0.1b
(*.f64 841/108 x)

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_9045
*-un-lft-identity_binary64_9023 add-cbrt-cube_binary64_9059 add-cube-cbrt_binary64_9058 add-exp-log_binary64_9061 add-log-exp_binary64_9062 pow1_binary64_9084
associate-*r*_binary64_8963 associate-*l*_binary64_8964
prod-exp_binary64_9072 *-commutative_binary64_8954 flip-+_binary64_8997 unswap-sqr_binary64_8991 flip3-+_binary64_9026 +-commutative_binary64_8953 sum-log_binary64_9114 pow-prod-down_binary64_9094 cbrt-unprod_binary64_9056
Counts
2 → 29
Calls

2 calls:

4.0ms
(*.f64 841/108 x)
4.0ms
(+.f64 (*.f64 841/108 x) 4/29)

series72.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

47.0ms
(+.f64 (*.f64 841/108 x) 4/29)
25.0ms
(*.f64 841/108 x)

simplify76.0ms (3.6%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04912275
14912275

prune57.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh000
Picked011
Done000
Total33336

Merged error: 0b

Counts
36 → 3
Compiler

Compiled 608 to 527 computations (13.3% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
0.1b
(*.f64 x (cbrt.f64 841/108))
0.3b
(*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
1.0b
(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

rewrite40.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64_9045
25×pow1_binary64_9084
20×cbrt-prod_binary64_9054 add-exp-log_binary64_9061
15×*-un-lft-identity_binary64_9023 add-cube-cbrt_binary64_9058
13×associate-*r*_binary64_8963
11×add-cbrt-cube_binary64_9059 pow-prod-down_binary64_9094
10×prod-exp_binary64_9072 associate-*l*_binary64_8964 cbrt-unprod_binary64_9056
swap-sqr_binary64_8990 pow1/3_binary64_9105 add-log-exp_binary64_9062 unswap-sqr_binary64_8991
*-commutative_binary64_8954
pow-sqr_binary64_8996 pow-prod-up_binary64_9093
pow2_binary64_9104 flip-+_binary64_8997 pow-plus_binary64_9086 flip3-+_binary64_9026 +-commutative_binary64_8953 sum-log_binary64_9114
Counts
4 → 95
Calls

4 calls:

11.0ms
(+.f64 (*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
10.0ms
(*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
7.0ms
(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
5.0ms
(*.f64 x (cbrt.f64 841/108))

series244.0ms (11.6%)

Counts
4 → 10
Calls

4 calls:

104.0ms
(+.f64 (*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
95.0ms
(*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
44.0ms
(*.f64 x (cbrt.f64 841/108))
0.0ms
(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify78.0ms (3.7%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04859847
14859847

prune114.0ms (5.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done011
Total1053108

Merged error: 0b

Counts
108 → 3
Compiler

Compiled 1484 to 1339 computations (9.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite16.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_9054
23×add-sqr-sqrt_binary64_9045
15×*-un-lft-identity_binary64_9023 add-cube-cbrt_binary64_9058
11×pow1_binary64_9084
pow1/3_binary64_9105
swap-sqr_binary64_8990 associate-*r*_binary64_8963 associate-*l*_binary64_8964 add-exp-log_binary64_9061
add-cbrt-cube_binary64_9059 add-log-exp_binary64_9062 unswap-sqr_binary64_8991
pow-sqr_binary64_8996 pow-prod-down_binary64_9094 pow-prod-up_binary64_9093
prod-exp_binary64_9072 *-commutative_binary64_8954 pow2_binary64_9104 pow-plus_binary64_9086 cbrt-unprod_binary64_9056
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series641.0ms (30.5%)

Counts
4 → 12
Calls

4 calls:

166.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
161.0ms
(cbrt.f64 x)
159.0ms
(cbrt.f64 x)
154.0ms
(cbrt.f64 x)

simplify53.0ms (2.5%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05245563

prune73.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done022
Total85388

Merged error: 0b

Counts
88 → 3
Compiler

Compiled 1284 to 689 computations (46.3% saved)

regimes9.0ms (0.4%)

Compiler

Compiled 31 to 27 computations (12.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample408.0ms (19.4%)

Algorithm
intervals
Results
227.0ms7995×body128valid
0.0msbody1024valid
0.0msbody512valid
0.0msbody128invalid
Compiler

Compiled 44 to 41 computations (6.8% saved)

Profiling

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