Details

Time bar (total: 4.3s)

analyze322.0ms (7.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6%20.5%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.1%16.6%74.3%14
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample42.0ms (1%)

Algorithm
1×intervals
Results
15.0ms199×body128valid
7.0ms14×body1024valid
7.0ms25×body512valid
3.0ms18×body256valid
1.0ms8×body128nan
Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify38.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
062520
162520

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.9b

Counts
2 → 1
Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 z (log.f64 (-.f64 1 y)))
0.3b
(*.f64 x (log.f64 y))
5.4b
(log.f64 (-.f64 1 y))

rewrite22.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
24×log-prod_binary64
21×*-un-lft-identity_binary64
12×add-cube-cbrt_binary64
10×pow1_binary64
9×distribute-lft-in_binary64 distribute-rgt-in_binary64
8×associate-*r*_binary64 add-exp-log_binary64
7×add-cbrt-cube_binary64
6×associate-*l*_binary64 difference-of-squares_binary64
3×add-log-exp_binary64 log-pow_binary64 distribute-lft-out--_binary64
2×pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 log-div_binary64 *-commutative_binary64
1×flip3--_binary64 rem-log-exp_binary64 flip--_binary64
Counts
3 → 73
Calls

3 calls:

7.0ms
(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms
(*.f64 x (log.f64 y))
4.0ms
(log.f64 (-.f64 1 y))

series145.0ms (3.3%)

Counts
3 → 9
Calls

3 calls:

72.0ms
(*.f64 z (log.f64 (-.f64 1 y)))
49.0ms
(*.f64 x (log.f64 y))
24.0ms
(log.f64 (-.f64 1 y))

simplify62.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049531036
149531036

prune179.0ms (4.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New75782
Fresh000
Picked101
Done000
Total76783

Merged error: 0.0b

Counts
83 → 7
Compiler

Compiled 3140 to 2118 computations (32.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 y (+.f64 (*.f64 y 1/3) 1/2))
0.0b
(*.f64 y (-.f64 -1 (*.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
0.3b
(*.f64 x (log.f64 y))
0.4b
(*.f64 y 1/3)

rewrite34.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
13×pow1_binary64 associate-*r*_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
6×log-prod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
2×sub-neg_binary64 cancel-sign-sub-inv_binary64
1×flip3-+_binary64 flip3--_binary64 log-pow_binary64 flip--_binary64 flip-+_binary64
Counts
4 → 89
Calls

4 calls:

10.0ms
(*.f64 y (+.f64 (*.f64 y 1/3) 1/2))
6.0ms
(*.f64 y (-.f64 -1 (*.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
5.0ms
(*.f64 x (log.f64 y))
4.0ms
(*.f64 y 1/3)

series181.0ms (4.2%)

Counts
4 → 12
Calls

4 calls:

74.0ms
(*.f64 y (+.f64 (*.f64 y 1/3) 1/2))
51.0ms
(*.f64 x (log.f64 y))
34.0ms
(*.f64 y (-.f64 -1 (*.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
22.0ms
(*.f64 y 1/3)

simplify70.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049171206
149171206

prune117.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh066
Picked011
Done000
Total1017108

Merged error: 0.0b

Counts
108 → 7
Compiler

Compiled 2629 to 1550 computations (41% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.7b
(cbrt.f64 y)
0.7b
(cbrt.f64 y)
5.4b
(log.f64 (-.f64 1 y))

rewrite21.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
18×log-prod_binary64
14×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
12×associate-+r+_binary64 cbrt-prod_binary64
11×add-cube-cbrt_binary64
6×add-log-exp_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
5×pow1_binary64 add-exp-log_binary64
4×add-cbrt-cube_binary64
2×pow1/3_binary64 difference-of-squares_binary64 log-div_binary64
1×flip3-+_binary64 flip3--_binary64 distribute-lft-out_binary64 rem-log-exp_binary64 log-pow_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 63
Calls

4 calls:

9.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
4.0ms
(log.f64 (-.f64 1 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series448.0ms (10.3%)

Counts
4 → 12
Calls

4 calls:

148.0ms
(cbrt.f64 y)
147.0ms
(cbrt.f64 y)
130.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
22.0ms
(log.f64 (-.f64 1 y))

simplify75.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04863778
14863778

prune122.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New73275
Fresh325
Picked101
Done011
Total77582

Merged error: 0.0b

Counts
82 → 5
Compiler

Compiled 2529 to 1459 computations (42.3% saved)

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.7b
(cbrt.f64 y)
5.1b
(pow.f64 y 1/3)
5.4b
(log.f64 (-.f64 1 y))

rewrite24.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
20×log-prod_binary64
15×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
14×associate-+r+_binary64
12×add-cube-cbrt_binary64
9×unpow-prod-down_binary64
7×distribute-lft-in_binary64 distribute-rgt-in_binary64
6×add-log-exp_binary64 pow1_binary64 add-exp-log_binary64
4×add-cbrt-cube_binary64
3×pow-unpow_binary64 sqr-pow_binary64 cbrt-prod_binary64
2×difference-of-squares_binary64 log-div_binary64
1×pow-to-exp_binary64 flip3-+_binary64 flip3--_binary64 distribute-lft-out_binary64 rem-log-exp_binary64 pow1/3_binary64 pow-pow_binary64 log-pow_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 pow-exp_binary64 unpow1/3_binary64 sum-log_binary64
Counts
4 → 72
Calls

4 calls:

9.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
4.0ms
(log.f64 (-.f64 1 y))
2.0ms
(pow.f64 y 1/3)
1.0ms
(cbrt.f64 y)

series518.0ms (12%)

Counts
4 → 12
Calls

4 calls:

182.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
159.0ms
(pow.f64 y 1/3)
154.0ms
(cbrt.f64 y)
22.0ms
(log.f64 (-.f64 1 y))

simplify108.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
04987736
14987736

prune117.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh123
Picked011
Done011
Total84589

Merged error: 0.0b

Counts
89 → 5
Compiler

Compiled 2351 to 1450 computations (38.3% saved)

regimes66.0ms (1.5%)

Compiler

Compiled 464 to 404 computations (12.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08430
18430

end0.0ms (0%)

sample1.5s (35.6%)

Algorithm
1×intervals
Results
427.0ms5883×body128valid
343.0ms666×body1024valid
208.0ms786×body512valid
103.0ms651×body256valid
19.0ms257×body128nan
10.0ms14×body2048valid
2.0ms32×body128invalid
Compiler

Compiled 179 to 151 computations (15.6% saved)

Profiling

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