Details

Time bar (total: 9.7s)

analyze2.2s (22.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
0%50%50%4
0%50%50%5
0%50%50%6
0%50%50%7
0%50%50%8
0%50%50%9
0%50%50%10
0%50%50%11
0%50%50%12
0%50%50%13
0%50%50%14
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample6.3s (65.4%)

Results
4.2s4205×body1024valid
1.1s1994×body512valid
489.0ms388×body2048valid
449.0ms1029×body256valid
107.0ms640×body128valid
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×sub-neg_binary64
6×fma-def_binary64
5×+-commutative_binary64
4×associate-+l-_binary64
3×associate--r+_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11410
21910
32510
43210
54210
65310
76610
87010
95310

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
60.4b
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 50 to 38 computations (24% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

series21.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

20.0ms
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite7.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
9×times-frac_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
3×associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

3.0ms
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

simplify54.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
742×associate-/r*_binary64
289×fma-def_binary64
234×times-frac_binary64
195×distribute-rgt-in_binary64
154×associate-/l/_binary64
Counts
41 → 55
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01821544
14921488
217111276
349111276

prune49.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New52355
Fresh101
Picked101
Done000
Total54357
Error
0b
Counts
57 → 3
Alt Table
StatusErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
▶0.0b
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
0.4b
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) (fma.f64 5/12 (pow.f64 x 3) x)))
Compiler

Compiled 1681 to 1051 computations (37.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
✓0.0b
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

series78.0ms (0.8%)

Counts
2 → 24
Calls

2 calls:

59.0ms
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
19.0ms
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

rewrite2.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
3×log1p-expm1-u_binary64
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

0.0ms
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
0.0ms
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

simplify100.0ms (1%)

Algorithm
1×egg-herbie
Rules
370×associate-/r*_binary64
301×sub-neg_binary64
290×associate-+r+_binary64
232×+-commutative_binary64
221×times-frac_binary64
Counts
46 → 77
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03233891
110573698
244783692
351913692

prune159.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1320132
Fresh022
Picked011
Done000
Total1323135
Error
0b
Counts
135 → 3
Alt Table
StatusErrorProgram
▶0.0b
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
0.4b
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) (fma.f64 5/12 (pow.f64 x 3) x)))
Compiler

Compiled 6732 to 4887 computations (27.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓0.0b
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)

series103.0ms (1.1%)

Counts
2 → 24
Calls

2 calls:

84.0ms
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)
19.0ms
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))

rewrite15.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
36×times-frac_binary64
32×cbrt-prod_binary64
32×*-un-lft-identity_binary64
32×add-sqr-sqrt_binary64
32×add-cube-cbrt_binary64
Counts
2 → 92
Calls

2 calls:

5.0ms
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
3.0ms
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)

simplify94.0ms (1%)

Algorithm
1×egg-herbie
Rules
392×associate-+r+_binary64
325×associate-/r*_binary64
277×fma-def_binary64
250×associate-+l+_binary64
242×times-frac_binary64
Counts
116 → 138
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04244985
113134737
254094737

prune174.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1930193
Fresh011
Picked011
Done011
Total1933196
Error
0b
Counts
196 → 3
Alt Table
StatusErrorProgram
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
▶0.4b
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) (fma.f64 5/12 (pow.f64 x 3) x)))
Compiler

Compiled 7368 to 4847 computations (34.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 1/2 (*.f64 x x) (fma.f64 5/12 (pow.f64 x 3) x))

series4.0ms (0%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(fma.f64 1/2 (*.f64 x x) (fma.f64 5/12 (pow.f64 x 3) x))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 1/2 (*.f64 x x) (fma.f64 5/12 (pow.f64 x 3) x))

simplify70.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
962×distribute-lft-in_binary64
962×distribute-rgt-in_binary64
451×fma-def_binary64
244×associate-+r+_binary64
244×associate-+l+_binary64
Counts
22 → 26
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029352
149321
2138319
3637267
43429267
54342267
64956267
74797267

prune26.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New26026
Fresh000
Picked011
Done022
Total26329
Error
0b
Counts
29 → 3
Alt Table
StatusErrorProgram
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
✓0.4b
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) (fma.f64 5/12 (pow.f64 x 3) x)))
Compiler

Compiled 457 to 312 computations (31.7% saved)

regimes79.0ms (0.8%)

Accuracy

Total 0.0b remaining (90.1%)

Threshold costs 0.0b (90.1%)

Counts
45 → 1
Compiler

Compiled 910 to 712 computations (21.8% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
1×+-commutative_binary64
1×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11617
21817
31917
41817

end68.0ms (0.7%)

Compiler

Compiled 55 to 43 computations (21.8% saved)

Profiling

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