Details

Time bar (total: 8.3s)

analyze1.5s (17.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
7.8%92%0.2%8
7.8%92%0.2%9
10.9%88.9%0.2%10
34.7%65.1%0.2%11
43.1%56.7%0.2%12
44.2%55.7%0.2%13
49.5%50.3%0.2%14
Compiler

Compiled 20 to 13 computations (35% saved)

sample112.0ms (1.3%)

Algorithm
intervals
Results
15.0ms249×body128valid
1.0ms18×body128invalid
1.0msbody1024valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify42.0ms (0.5%)

Algorithm
egg-herbie
Rules
509×fma-neg_binary64
396×distribute-rgt-in_binary64
366×distribute-lft-in_binary64
289×fma-def_binary64
260×associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01323
15521
215321
336221
4131521
5463921
6506721

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
4.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
4.6b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 69 to 35 computations (49.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(tanh.f64 (/.f64 x y))
0.0b
(tanh.f64 (/.f64 t y))
0.1b
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
4.4b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

series888.0ms (10.7%)

Counts
4 → 132
Calls

4 calls:

583.0ms
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
178.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
64.0ms
(tanh.f64 (/.f64 x y))
62.0ms
(tanh.f64 (/.f64 t y))

rewrite12.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity_binary64
14×add-sqr-sqrt_binary64
12×add-cube-cbrt_binary64
frac-sub_binary64
prod-diff_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
1.0ms
(tanh.f64 (/.f64 t y))
1.0ms
(tanh.f64 (/.f64 x y))
0.0ms
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

simplify193.0ms (2.3%)

Algorithm
egg-herbie
Rules
750×times-frac_binary64
231×fma-neg_binary64
202×fma-def_binary64
174×distribute-rgt-in_binary64
173×distribute-lft-in_binary64
Counts
205 → 173
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033012435
110067805
234977805
351597805

prune126.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1712173
Fresh000
Picked011
Done000
Total1713174
Error
0.0b
Counts
174 → 3
Alt Table
StatusErrorProgram
38.0b
(fma.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)))) x)
4.6b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
27.7b
(-.f64 (fma.f64 z t x) (*.f64 x z))
Compiler

Compiled 6725 to 2174 computations (67.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.3b
(-.f64 (fma.f64 z t x) (*.f64 x z))

series8.0ms (0.1%)

Counts
1 → 36
Calls

1 calls:

8.0ms
(-.f64 (fma.f64 z t x) (*.f64 x z))

rewrite5.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
fma-neg_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
prod-diff_binary64
Counts
1 → 21
Calls

1 calls:

4.0ms
(-.f64 (fma.f64 z t x) (*.f64 x z))

simplify78.0ms (0.9%)

Algorithm
egg-herbie
Rules
625×fma-neg_binary64
539×associate-+l+_binary64
512×associate-+r+_binary64
301×*-commutative_binary64
241×neg-sub0_binary64
Counts
57 → 42
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
060695
1142615
2415596
31618595
43553508
54678508
64933508

prune24.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New41142
Fresh011
Picked011
Done011
Total41445
Error
0.0b
Counts
45 → 4
Alt Table
StatusErrorProgram
38.0b
(fma.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)))) x)
4.6b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
27.7b
(fma.f64 z (-.f64 t x) x)
27.7b
(-.f64 (fma.f64 z t x) (*.f64 x z))
Compiler

Compiled 723 to 231 computations (68% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 z (-.f64 t x) x)

series7.0ms (0.1%)

Counts
1 → 36
Calls

1 calls:

7.0ms
(fma.f64 z (-.f64 t x) x)

rewrite1.0ms (0%)

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
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 z (-.f64 t x) x)

simplify60.0ms (0.7%)

Algorithm
egg-herbie
Rules
762×neg-sub0_binary64
713×neg-mul-1_binary64
619×distribute-neg-out_binary64
618×distribute-rgt-neg-out_binary64
414×unsub-neg_binary64
Counts
46 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032472
166374
2141374
3350374
41783374
53599374
65394374

prune11.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New22022
Fresh011
Picked011
Done022
Total22426
Error
0.0b
Counts
26 → 4
Alt Table
StatusErrorProgram
38.0b
(fma.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)))) x)
4.6b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
27.7b
(fma.f64 z (-.f64 t x) x)
27.7b
(-.f64 (fma.f64 z t x) (*.f64 x z))
Compiler

Compiled 345 to 151 computations (56.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)))
0.5b
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))))
4.1b
(-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))
4.9b
(fma.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)))) x)

series2.4s (28.5%)

Counts
4 → 144
Calls

4 calls:

1.3s
(fma.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)))) x)
974.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))))
93.0ms
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)))
29.0ms
(-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))

rewrite112.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt_binary64
66×*-un-lft-identity_binary64
63×prod-diff_binary64
54×add-cube-cbrt_binary64
40×unpow-prod-down_binary64
Counts
4 → 205
Calls

4 calls:

31.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))))
17.0ms
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)))
6.0ms
(-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))
0.0ms
(fma.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)))) x)

simplify687.0ms (8.3%)

Algorithm
egg-herbie
Rules
985×fma-def_binary64
347×*-commutative_binary64
296×+-commutative_binary64
224×associate-+r+_binary64
172×associate-/r*_binary64
Counts
349 → 378
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0113933153
1405131635
2474131543
3495331543
4498931543

prune741.0ms (8.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3771378
Fresh000
Picked101
Done033
Total3784382
Error
0b
Counts
382 → 4
Alt Table
StatusErrorProgram
4.6b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
38.2b
(fma.f64 (*.f64 y z) (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2))))) (cbrt.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2)))))) (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2))) (/.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)) (-.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)) (expm1.f64 (*.f64 (/.f64 x y) 2))))) (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) -2)))) x)
27.7b
(fma.f64 z (-.f64 t x) x)
27.7b
(-.f64 (fma.f64 z t x) (*.f64 x z))
Compiler

Compiled 42906 to 23471 computations (45.3% saved)

regimes251.0ms (3%)

Accuracy

Total 0.7b remaining (82.4%)

Threshold costs 0.7b (82.4%)

Counts
30 → 3
Compiler

Compiled 5178 to 2826 computations (45.4% saved)

bsearch2.0ms (0%)

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02695
13995
25395
36195
46695
56795
66795

end1.0ms (0%)

Compiler

Compiled 67 to 24 computations (64.2% saved)

sample1.0s (12.6%)

Algorithm
intervals
Results
537.0ms7798×body128valid
38.0ms549×body128invalid
19.0ms80×body1024valid
15.0ms79×body512valid
5.0ms43×body256valid
Compiler

Compiled 262 to 144 computations (45% saved)

Profiling

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