Details

Time bar (total: 3.7s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
50.4%0%49.6%13
50.4%0%49.6%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample53.0ms (1.4%)

Algorithm
1×intervals
Results
29.0ms122×body1024valid
7.0ms57×body512valid
4.0ms15×body2048valid
3.0ms38×body256valid
1.0ms24×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify330.0ms (9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0526813

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
57.0b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.4b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite19.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
4×add-sqr-sqrt_binary64_782 *-un-lft-identity_binary64_760
3×add-log-exp_binary64_799 cancel-sign-sub-inv_binary64_726
2×add-cube-cbrt_binary64_795
1×sinh-undef_binary64_953 diff-log_binary64_852 pow1_binary64_821 add-exp-log_binary64_798 add-cbrt-cube_binary64_796 flip3--_binary64_764 sub-neg_binary64_753 flip--_binary64_735 difference-of-squares_binary64_729 distribute-lft-out--_binary64_712
Counts
1 → 17
Calls

1 calls:

5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 261 to 97 computations (62.8% saved)

series38.0ms (1%)

Error
0.0b
Counts
1 → 6
Calls

1 calls:

26.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 163 to 139 computations (14.7% saved)

simplify80.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04836321
14836321

prune22.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New20323
Fresh000
Picked101
Done000
Total21324
Error
0b
Counts
24 → 3
Compiler

Compiled 327 to 175 computations (46.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(sinh.f64 x)

rewrite7.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
1×sinh-def_binary64_945 pow1_binary64_821 add-log-exp_binary64_799 add-exp-log_binary64_798 add-cbrt-cube_binary64_796 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782 *-un-lft-identity_binary64_760
Counts
1 → 8
Calls

1 calls:

1.0ms
(sinh.f64 x)
Compiler

Compiled 83 to 56 computations (32.5% saved)

series54.0ms (1.5%)

Error
0b
Counts
1 → 6
Calls

1 calls:

49.0ms
(sinh.f64 x)
Compiler

Compiled 187 to 163 computations (12.8% saved)

simplify59.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05433137

prune12.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14014
Fresh022
Picked011
Done000
Total14317
Error
0b
Counts
17 → 3
Compiler

Compiled 193 to 143 computations (25.9% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
0.0b
(*.f64 1/2520 (pow.f64 x 7))
0.1b
(*.f64 1/60 (pow.f64 x 5))
0.1b
(*.f64 1/3 (pow.f64 x 3))

rewrite183.0ms (5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
31×add-sqr-sqrt_binary64_782
26×associate-*r*_binary64_700
19×add-exp-log_binary64_798
14×add-cube-cbrt_binary64_795 *-un-lft-identity_binary64_760
12×unpow-prod-down_binary64_839
10×add-cbrt-cube_binary64_796 unswap-sqr_binary64_728
9×prod-exp_binary64_809 associate-*l*_binary64_701
6×add-log-exp_binary64_799 sqr-pow_binary64_732
4×pow1_binary64_821 cube-prod_binary64_788
3×pow-to-exp_binary64_829 pow-exp_binary64_828 cbrt-unprod_binary64_793 *-commutative_binary64_691
1×unpow3_binary64_826 cube-mult_binary64_790 sum-log_binary64_851 flip3-+_binary64_763 flip-+_binary64_734 +-commutative_binary64_690
Counts
4 → 92
Calls

4 calls:

7.0ms
(*.f64 1/3 (pow.f64 x 3))
6.0ms
(*.f64 1/60 (pow.f64 x 5))
6.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
6.0ms
(*.f64 1/2520 (pow.f64 x 7))
Compiler

Compiled 2761 to 2097 computations (24% saved)

series246.0ms (6.7%)

Error
0b
Counts
4 → 15
Calls

4 calls:

106.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
47.0ms
(*.f64 1/2520 (pow.f64 x 7))
38.0ms
(*.f64 1/60 (pow.f64 x 5))
36.0ms
(*.f64 1/3 (pow.f64 x 3))
Compiler

Compiled 930 to 740 computations (20.4% saved)

simplify71.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
053621185

prune161.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done011
Total1073110
Error
0b
Counts
110 → 3
Compiler

Compiled 2926 to 2191 computations (25.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
0.1b
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
6.4b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite95.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
20×add-sqr-sqrt_binary64_782 *-un-lft-identity_binary64_760
18×cbrt-prod_binary64_791
12×unpow-prod-down_binary64_839 cube-prod_binary64_788
10×add-cube-cbrt_binary64_795
5×sinh-undef_binary64_953 add-log-exp_binary64_799 difference-of-squares_binary64_729 distribute-lft-out--_binary64_712
4×pow1_binary64_821 add-exp-log_binary64_798 add-cbrt-cube_binary64_796 cube-div_binary64_789
3×flip3--_binary64_764 flip--_binary64_735 cancel-sign-sub-inv_binary64_726 pow-unpow_binary64_837
2×cbrt-div_binary64_792 unpow3_binary64_826 cube-mult_binary64_790 sqr-pow_binary64_732
1×diff-log_binary64_852 sub-neg_binary64_753 pow1/3_binary64_842 rem-cbrt-cube_binary64_784 pow-pow_binary64_832 pow-to-exp_binary64_829 pow-exp_binary64_828 rem-cube-cbrt_binary64_783
Counts
3 → 77
Calls

3 calls:

7.0ms
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
7.0ms
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
6.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 1542 to 670 computations (56.5% saved)

series141.0ms (3.8%)

Error
0b
Counts
3 → 18
Calls

3 calls:

66.0ms
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
31.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
27.0ms
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
Compiler

Compiled 573 to 491 computations (14.3% saved)

simplify70.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
048801555
148801555

prune71.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done022
Total95398
Error
0b
Counts
98 → 3
Compiler

Compiled 1453 to 707 computations (51.3% saved)

regimes66.0ms (1.8%)

Accuracy

Total 0.0b remaining (80.3%)

Threshold costs 0.0b (80.3%)

Compiler

Compiled 564 to 450 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample1.9s (50.6%)

Algorithm
1×intervals
Results
982.0ms3951×body1024valid
254.0ms1987×body512valid
109.0ms402×body2048valid
71.0ms969×body256valid
25.0ms691×body128valid
Compiler

Compiled 175 to 144 computations (17.7% saved)

Profiling

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