Details

Time bar (total: 1.9s)

analyze30.0ms (1.6%)

Algorithm
1×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)

sample30.0ms (1.5%)

Algorithm
1×intervals
Results
13.0ms82×body1024valid
4.0ms113×body128valid
3.0ms29×body512valid
2.0ms25×body256valid
2.0ms7×body2048valid
Compiler

Compiled 16 to 12 computations (25% saved)

simplify21.0ms (1.1%)

Algorithm
1×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 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 15 to 9 computations (40% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) 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 → 30
Calls

1 calls:

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

series9.0ms (0.5%)

Counts
1 → 12
Calls

1 calls:

9.0ms
(/.f64 (expm1.f64 x) x)

simplify66.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
665×times-frac_binary64
337×associate-/l*_binary64
285×fma-def_binary64
269×associate-*l*_binary64
256×fma-neg_binary64
Counts
42 → 42
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076468
1144440
2345437
3884430
44051430
55063430

prune21.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh000
Picked011
Done000
Total40343
Error
0b
Counts
43 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)
25.3b
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
▶0.0b
(/.f64 1 (/.f64 x (expm1.f64 x)))
Compiler

Compiled 323 to 124 computations (61.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.7%)

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 → 107
Calls

2 calls:

4.0ms
(/.f64 1 (/.f64 x (expm1.f64 x)))
2.0ms
(/.f64 x (expm1.f64 x))

series26.0ms (1.3%)

Counts
2 → 24
Calls

2 calls:

17.0ms
(/.f64 x (expm1.f64 x))
8.0ms
(/.f64 1 (/.f64 x (expm1.f64 x)))

simplify109.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
475×fma-def_binary64
424×associate-/l/_binary64
353×distribute-rgt-in_binary64
343×distribute-lft-in_binary64
257×fma-neg_binary64
Counts
131 → 131
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01311825
12541614
26621580
317391565
445031565
549421565

prune32.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done011
Total1313134
Error
0b
Counts
134 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)
▶25.3b
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
✓0.0b
(/.f64 1 (/.f64 x (expm1.f64 x)))
Compiler

Compiled 809 to 286 computations (64.6% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
✓0.1b
(fma.f64 1/24 (pow.f64 x 3) 1)
✓0.1b
(fma.f64 x 1/6 1/2)

rewrite3.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
3×*-un-lft-identity_binary64
3×add-sqr-sqrt_binary64
3×add-cube-cbrt_binary64
3×add-cbrt-cube_binary64
3×add-exp-log_binary64
Counts
3 → 30
Calls

3 calls:

0.0ms
(fma.f64 x 1/6 1/2)
0.0ms
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
0.0ms
(fma.f64 1/24 (pow.f64 x 3) 1)

series19.0ms (1%)

Counts
3 → 36
Calls

3 calls:

11.0ms
(fma.f64 1/24 (pow.f64 x 3) 1)
5.0ms
(fma.f64 x 1/6 1/2)
3.0ms
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))

simplify80.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
608×associate-*l*_binary64
535×associate-*r*_binary64
462×fma-def_binary64
371×associate-/l*_binary64
351×exp-prod_binary64
Counts
66 → 66
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055743
192659
2206650
3750631
42903631
53707631
65137631

prune30.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh000
Picked011
Done022
Total66369
Error
0b
Counts
69 → 3
Alt Table
StatusErrorProgram
0.0b
(/.f64 (expm1.f64 x) x)
25.3b
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
0.0b
(/.f64 1 (/.f64 x (expm1.f64 x)))
Compiler

Compiled 620 to 479 computations (22.7% saved)

regimes41.0ms (2.1%)

Accuracy

Total 0.0b remaining (83.3%)

Threshold costs 0.0b (83.3%)

Compiler

Compiled 393 to 285 computations (27.5% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
189
279

end0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample1.4s (71.2%)

Algorithm
1×intervals
Results
696.0ms2686×body1024valid
196.0ms1303×body512valid
107.0ms3108×body128valid
59.0ms634×body256valid
50.0ms269×body2048valid
Compiler

Compiled 41 to 30 computations (26.8% saved)

Profiling

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