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
25%75%0%3
62.5%25%12.5%4
68.7%12.5%18.8%5
71.8%6.2%21.9%6
73.4%3.1%23.5%7
74.2%1.6%24.3%8
74.6%0.8%24.6%9
75%0.4%24.6%10
75.1%0.2%24.7%11
75.1%0.1%24.8%12
75.1%0%24.8%13
75.2%0%24.8%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample58.0ms (2.7%)

Algorithm
intervals
Results
13.0ms71×body1024valid
6.0ms55×body512valid
3.0ms15×body2048valid
3.0ms94×body128valid
1.0ms21×body256valid
Compiler

Compiled 16 to 12 computations (25% saved)

simplify17.0ms (0.8%)

Algorithm
egg-herbie
Rules
95×fma-def_binary64
80×fma-neg_binary64
32×distribute-rgt-in_binary64
27×cancel-sign-sub-inv_binary64
26×distribute-lft-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
1156
2186
3226
4306
5386
6576
7866
81136
91546
102246
112616
122976
133006
142636

prune4.0ms (0.2%)

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 (expm1.f64 x) x)
41.4b
(/.f64 (-.f64 (exp.f64 x) 1) x)
Compiler

Compiled 35 to 23 computations (34.3% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 x)
0.0b
(/.f64 (expm1.f64 x) x)

series5.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(/.f64 (expm1.f64 x) x)
2.0ms
(expm1.f64 x)

rewrite6.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
times-frac_binary64
add-cbrt-cube_binary64
Counts
2 → 41
Calls

2 calls:

4.0ms
(/.f64 (expm1.f64 x) x)
0.0ms
(expm1.f64 x)

simplify64.0ms (3%)

Algorithm
egg-herbie
Rules
665×times-frac_binary64
521×fma-def_binary64
383×associate-*l*_binary64
337×associate-/l*_binary64
246×associate-/r*_binary64
Counts
65 → 61
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088597
1173562
2420559
31073546
44307546
54968546

prune33.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New59261
Fresh011
Picked101
Done000
Total60363
Error
0b
Counts
63 → 3
Alt Table
StatusErrorProgram
12.5b
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
41.4b
(/.f64 (-.f64 (exp.f64 x) 1) x)
19.8b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
Compiler

Compiled 617 to 271 computations (56.1% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 x)
0.0b
(/.f64 (expm1.f64 x) x)
0.1b
(pow.f64 (/.f64 (expm1.f64 x) x) 3)
12.5b
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))

series19.0ms (0.9%)

Counts
2 → 24
Calls

2 calls:

10.0ms
(pow.f64 (/.f64 (expm1.f64 x) x) 3)
9.0ms
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))

rewrite12.0ms (0.6%)

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

2 calls:

3.0ms
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
3.0ms
(pow.f64 (/.f64 (expm1.f64 x) x) 3)

simplify83.0ms (3.9%)

Algorithm
egg-herbie
Rules
809×times-frac_binary64
470×associate-/l*_binary64
448×fma-def_binary64
282×unswap-sqr_binary64
167×associate-/l/_binary64
Counts
116 → 112
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01551711
13691552
211511506
347671492
450611492

prune84.0ms (3.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1730173
Fresh022
Picked011
Done000
Total1733176
Error
0b
Counts
176 → 3
Alt Table
StatusErrorProgram
12.5b
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
41.4b
(/.f64 (-.f64 (exp.f64 x) 1) x)
19.8b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
Compiler

Compiled 2257 to 1106 computations (51% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
0.1b
(fma.f64 x 1/6 1/2)

series4.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

2.0ms
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
2.0ms
(fma.f64 x 1/6 1/2)

rewrite1.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
2 → 20
Calls

2 calls:

0.0ms
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
0.0ms
(fma.f64 x 1/6 1/2)

simplify99.0ms (4.6%)

Algorithm
egg-herbie
Rules
590×distribute-rgt-out_binary64
503×sqr-pow_binary64
365×*-commutative_binary64
298×distribute-rgt-in_binary64
294×distribute-lft-in_binary64
Counts
44 → 49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036413
155342
2110341
3337341
41484341
52130341
62811341
73949341
84978341
94992341
104895341

prune32.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh011
Picked011
Done011
Total49352
Error
0b
Counts
52 → 3
Alt Table
StatusErrorProgram
12.5b
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
41.4b
(/.f64 (-.f64 (exp.f64 x) 1) x)
19.8b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
Compiler

Compiled 536 to 412 computations (23.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (exp.f64 x) 1) x)
3.2b
(-.f64 (exp.f64 x) 1)

series6.0ms (0.3%)

Counts
2 → 12
Calls

2 calls:

4.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
2.0ms
(-.f64 (exp.f64 x) 1)

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64
37×*-un-lft-identity_binary64
22×add-cube-cbrt_binary64
21×times-frac_binary64
10×difference-of-squares_binary64
Counts
2 → 81
Calls

2 calls:

6.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms
(-.f64 (exp.f64 x) 1)

simplify77.0ms (3.6%)

Algorithm
egg-herbie
Rules
461×distribute-rgt-in_binary64
422×distribute-lft-in_binary64
312×fma-neg_binary64
205×fma-def_binary64
186×div-sub_binary64
Counts
93 → 130
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01211233
1259999
2583968
31886967
44710967
54983967

prune52.0ms (2.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh000
Picked011
Done022
Total1303133
Error
0b
Counts
133 → 3
Alt Table
StatusErrorProgram
12.5b
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
41.4b
(/.f64 (-.f64 (exp.f64 x) 1) x)
19.8b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
Compiler

Compiled 1744 to 952 computations (45.4% saved)

regimes46.0ms (2.1%)

Accuracy

Total 0.1b remaining (95.2%)

Threshold costs 0.1b (95.2%)

Counts
30 → 1
Compiler

Compiled 444 to 330 computations (25.7% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1610

end0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample1.4s (65.2%)

Algorithm
intervals
Results
584.0ms2654×body1024valid
343.0ms1323×body512valid
93.0ms3079×body128valid
62.0ms312×body2048valid
46.0ms632×body256valid
Compiler

Compiled 39 to 29 computations (25.6% saved)

Profiling

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