Details

Time bar (total: 1.8s)

analyze406.0ms (22%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample45.0ms (2.4%)

Algorithm
1×intervals
Results
14.0ms81×body1024valid
4.0ms48×body512valid
3.0ms107×body128valid
2.0ms16×body256valid
1.0ms4×body2048valid
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
1×expm1-def_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1128
2138
3118

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.5b
(/.f64 (exp.f64 x) (expm1.f64 x))
Compiler

Compiled 25 to 15 computations (40% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 (exp.f64 x) (expm1.f64 x))

series8.0ms (0.4%)

Counts
1 → 12
Calls

1 calls:

8.0ms
(/.f64 (exp.f64 x) (expm1.f64 x))

rewrite6.0ms (0.3%)

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 (exp.f64 x) (expm1.f64 x))

simplify65.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
825×fma-def_binary64
587×div-sub_binary64
548×times-frac_binary64
500×fma-neg_binary64
317×distribute-rgt-in_binary64
Counts
41 → 40
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066559
1130521
2292519
3609519
41403519
54001519
65294519

prune19.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New38240
Fresh000
Picked011
Done000
Total38341
Error
0.4b
Counts
41 → 3
Alt Table
StatusErrorProgram
✓0.5b
(/.f64 (exp.f64 x) (expm1.f64 x))
▶0.5b
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
22.6b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 471 to 168 computations (64.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
✓0.5b
(/.f64 (expm1.f64 x) (exp.f64 x))

series18.0ms (1%)

Counts
2 → 24
Calls

2 calls:

10.0ms
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
7.0ms
(/.f64 (expm1.f64 x) (exp.f64 x))

rewrite15.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/r*_binary64
Counts
2 → 108
Calls

2 calls:

5.0ms
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
3.0ms
(/.f64 (expm1.f64 x) (exp.f64 x))

simplify103.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
698×fma-def_binary64
435×unsub-neg_binary64
353×div-sub_binary64
324×cancel-sign-sub-inv_binary64
275×fma-neg_binary64
Counts
132 → 155
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01272174
12551957
26481910
318271902
440671899
550491899

prune67.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1541155
Fresh011
Picked011
Done101
Total1553158
Error
0b
Counts
158 → 3
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓0.5b
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
22.6b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 2324 to 870 computations (62.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -1 (expm1.f64 (neg.f64 x)))

series14.0ms (0.8%)

Counts
1 → 12
Calls

1 calls:

14.0ms
(/.f64 -1 (expm1.f64 (neg.f64 x)))

rewrite3.0ms (0.2%)

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:

2.0ms
(/.f64 -1 (expm1.f64 (neg.f64 x)))

simplify61.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
854×fma-neg_binary64
386×distribute-rgt-in_binary64
349×associate-/l*_binary64
337×distribute-lft-in_binary64
295×associate-/r*_binary64
Counts
41 → 42
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073561
1128523
2263521
3540521
41560521
54463521
64940521

prune19.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh011
Picked011
Done011
Total42345
Error
0b
Counts
45 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓0.5b
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
▶22.6b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 476 to 279 computations (41.4% saved)

localize3.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓0.5b
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
✓22.6b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 20 to 16 computations (20% saved)

regimes25.0ms (1.4%)

Accuracy

Total 0.0b remaining (51.6%)

Threshold costs 0.0b (51.6%)

Counts
10 → 1
Compiler

Compiled 281 to 214 computations (23.8% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-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
068
198
2118
3128
4128

end0.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample948.0ms (51.2%)

Algorithm
1×intervals
Results
423.0ms2621×body1024valid
116.0ms1320×body512valid
97.0ms3136×body128valid
41.0ms240×body2048valid
41.0ms683×body256valid
0.0ms3×body2048invalid
0.0ms1×body128overflowed
Compiler

Compiled 36 to 28 computations (22.2% saved)

Profiling

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