Details

Time bar (total: 1.7s)

analyze96.0ms (5.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 10 to 8 computations (20% saved)

sample19.0ms (1.1%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
Compiler

Compiled 20 to 16 computations (20% saved)

simplify90.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
638×fma-def_binary64
434×unswap-sqr_binary64
366×fma-neg_binary64
277×*-commutative_binary64
262×exp-prod_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11513
22013
32713
44613
57813
614613
727413
867013
9189613
10269213
11353513
12471313
13486513
14479413

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 27 to 21 computations (22.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
23×*-un-lft-identity_binary64
15×times-frac_binary64
13×add-sqr-sqrt_binary64
13×add-cube-cbrt_binary64
5×associate-/r*_binary64
Counts
2 → 57
Calls

2 calls:

9.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series21.0ms (1.2%)

Counts
2 → 16
Calls

2 calls:

19.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify87.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
713×fma-neg_binary64
684×fma-def_binary64
548×associate-*l*_binary64
292×times-frac_binary64
257×distribute-rgt-in_binary64
Counts
73 → 133
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01151210
12481114
25491101
312411099
442051099
549801099

prune56.0ms (3.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1312133
Fresh000
Picked101
Done000
Total1322134
Error
0b
Counts
134 → 2
Alt Table
StatusErrorProgram
0.6b
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
▶0.0b
(/.f64 -2 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)))
Compiler

Compiled 1597 to 666 computations (58.3% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite28.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
89×add-sqr-sqrt_binary64
74×*-un-lft-identity_binary64
68×times-frac_binary64
64×add-cube-cbrt_binary64
39×prod-diff_binary64
Counts
3 → 143
Calls

3 calls:

8.0ms
(-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))
8.0ms
(/.f64 -2 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)))
3.0ms
(/.f64 -1 (exp.f64 x))

series65.0ms (3.8%)

Counts
3 → 28
Calls

3 calls:

35.0ms
(/.f64 -2 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)))
18.0ms
(/.f64 -1 (exp.f64 x))
12.0ms
(-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))

simplify134.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
625×fma-def_binary64
420×associate-*l*_binary64
411×associate-/l*_binary64
300×fma-neg_binary64
222×associate-/r*_binary64
Counts
171 → 285
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02283048
14242741
212822498
340342492
447882492

prune96.0ms (5.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2850285
Fresh011
Picked011
Done000
Total2852287
Error
0b
Counts
287 → 2
Alt Table
StatusErrorProgram
▶0.6b
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
✓0.0b
(/.f64 -2 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)))
Compiler

Compiled 4130 to 2028 computations (50.9% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(cosh.f64 x)
✓0.0b
(/.f64 (sqrt.f64 2) (cosh.f64 x))
✓0.6b
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))

rewrite31.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
74×add-sqr-sqrt_binary64
66×times-frac_binary64
44×*-un-lft-identity_binary64
44×add-cube-cbrt_binary64
36×sqrt-prod_binary64
Counts
3 → 128
Calls

3 calls:

15.0ms
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
3.0ms
(/.f64 (sqrt.f64 2) (cosh.f64 x))
1.0ms
(cosh.f64 x)

series95.0ms (5.6%)

Counts
3 → 36
Calls

3 calls:

52.0ms
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
35.0ms
(/.f64 (sqrt.f64 2) (cosh.f64 x))
7.0ms
(cosh.f64 x)

simplify137.0ms (8.1%)

Algorithm
1×egg-herbie
Rules
712×fma-def_binary64
641×associate-/l*_binary64
377×*-commutative_binary64
356×associate-/l/_binary64
269×fma-neg_binary64
Counts
164 → 289
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02082825
15202590
215162233
340492227
449692227
549092227

prune114.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2890289
Fresh000
Picked011
Done011
Total2892291
Error
0b
Counts
291 → 2
Alt Table
StatusErrorProgram
✓0.6b
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
✓0.0b
(/.f64 -2 (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)))
Compiler

Compiled 3528 to 2780 computations (21.2% saved)

regimes73.0ms (4.3%)

Accuracy

Total 0.0b remaining (35.6%)

Threshold costs 0.0b (35.6%)

Compiler

Compiled 1021 to 802 computations (21.4% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11014
21414
31614
41714
51714

end0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

sample516.0ms (30.4%)

Algorithm
1×intervals
Results
310.0ms8000×body128valid
Compiler

Compiled 42 to 33 computations (21.4% saved)

Profiling

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