Details

Time bar (total: 1.7s)

analyze415.0ms (24.8%)

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)

sample46.0ms (2.7%)

Algorithm
1×intervals
Results
14.0ms91×body1024valid
4.0ms48×body512valid
4.0ms18×body256valid
3.0ms91×body128valid
1.0ms8×body2048valid
0.0ms1×body2048invalid
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify6.0ms (0.4%)

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
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.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
✓0.0b
(/.f64 (exp.f64 x) (expm1.f64 x))

series11.0ms (0.7%)

Counts
1 → 12
Calls

1 calls:

11.0ms
(/.f64 (exp.f64 x) (expm1.f64 x))

rewrite4.0ms (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:

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

simplify64.0ms (3.8%)

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

prune15.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh000
Picked011
Done000
Total39241
Error
0b
Counts
41 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (exp.f64 x) (expm1.f64 x))
▶20.2b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 455 to 156 computations (65.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1/2 (/.f64 1 x))

series1.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

1.0ms
(+.f64 1/2 (/.f64 1 x))

rewrite5.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
5×*-un-lft-identity_binary64
3×add-log-exp_binary64
3×fma-def_binary64
2×distribute-lft-out_binary64
2×add-sqr-sqrt_binary64
Counts
1 → 18
Calls

1 calls:

4.0ms
(+.f64 1/2 (/.f64 1 x))

simplify83.0ms (5%)

Algorithm
1×egg-herbie
Rules
809×fma-def_binary64
425×unswap-sqr_binary64
403×distribute-rgt-in_binary64
330×associate-*r*_binary64
260×fma-neg_binary64
Counts
21 → 28
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031183
184163
2170162
3357162
4797162
51860162
63117162
74800162
84821162
94911162

prune12.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done011
Total28230
Error
0b
Counts
30 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (exp.f64 x) (expm1.f64 x))
✓20.2b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 298 to 251 computations (15.8% saved)

regimes15.0ms (0.9%)

Accuracy

Total 0.1b remaining (19.7%)

Threshold costs 0.1b (19.7%)

Counts
4 → 1
Compiler

Compiled 98 to 67 computations (31.6% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
158

end0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample984.0ms (58.8%)

Algorithm
1×intervals
Results
437.0ms2673×body1024valid
126.0ms1310×body512valid
89.0ms3134×body128valid
50.0ms279×body2048valid
37.0ms604×body256valid
0.0ms3×body2048invalid
Compiler

Compiled 28 to 20 computations (28.6% saved)

Profiling

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