Details

Time bar (total: 28.2s)

analyze1.3s (4.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%96.6%3.4%6
0%96.6%3.4%7
0%95%5%8
0%85.7%14.3%9
0%64.3%35.7%10
0%64.3%35.7%11
0.5%49.2%50.3%12
0.7%49%50.3%13
1%47.6%51.4%14
Compiler

Compiled 25 to 18 computations (28% saved)

sample5.5s (19.6%)

Results
3.8s22088×body128invalid
1.6s8256×body128valid
Compiler

Compiled 74 to 53 computations (28.4% saved)

simplify50.0ms (0.2%)

Algorithm
egg-herbie
Rules
615×associate-/l/_binary64
552×associate-/r/_binary64
488×associate-*l/_binary64
352×associate-*r/_binary64
345×fma-def_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01826
13726
27824
318624
451724
5166424
6436224
7475024
8504524

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
2.1b
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
26.3b
(*.f64 (*.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))
Compiler

Compiled 132 to 90 computations (31.8% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (-.f64 t 1) (log.f64 a))
0.3b
(*.f64 y (log.f64 z))
0.9b
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))
1.4b
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

series2.1s (7.5%)

Counts
4 → 176
Calls

4 calls:

1.3s
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
598.0ms
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))
203.0ms
(*.f64 y (log.f64 z))
62.0ms
(*.f64 (-.f64 t 1) (log.f64 a))

rewrite32.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
27×*-un-lft-identity_binary64
22×add-cube-cbrt_binary64
14×exp-sum_binary64
13×add-cbrt-cube_binary64
Counts
4 → 116
Calls

4 calls:

11.0ms
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
6.0ms
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))
5.0ms
(*.f64 (-.f64 t 1) (log.f64 a))
3.0ms
(*.f64 y (log.f64 z))

simplify492.0ms (1.7%)

Algorithm
egg-herbie
Rules
510×fma-neg_binary64
314×associate-*r*_binary64
302×associate-*l*_binary64
245×cancel-sign-sub-inv_binary64
170×times-frac_binary64
Counts
292 → 248
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03937243
18956044
233415911
345495911
449995911
549245911

prune290.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2435248
Fresh101
Picked011
Done000
Total2446250
Error
0.0b
Counts
250 → 6
Alt Table
StatusErrorProgram
19.1b
(*.f64 x (/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y))
24.7b
(*.f64 (/.f64 (pow.f64 z y) (*.f64 a (exp.f64 b))) (/.f64 x y))
2.1b
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
29.3b
(*.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y))) (sqrt.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y))))
29.6b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y)) 3))
20.2b
(/.f64 1 (/.f64 y (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) x)))
Compiler

Compiled 7328 to 3143 computations (57.1% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y)
0.1b
(pow.f64 a (+.f64 t -1))
0.3b
(*.f64 x (/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y))
0.5b
(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))

series3.6s (12.9%)

Counts
4 → 216
Calls

4 calls:

1.6s
(*.f64 x (/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y))
1.1s
(/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y)
932.0ms
(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
29.0ms
(pow.f64 a (+.f64 t -1))

rewrite614.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
4176×times-frac_binary64
1779×add-sqr-sqrt_binary64
1725×*-un-lft-identity_binary64
1723×add-cube-cbrt_binary64
1198×unpow-prod-down_binary64
Counts
4 → 1770
Calls

4 calls:

111.0ms
(*.f64 x (/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y))
36.0ms
(/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y)
9.0ms
(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
6.0ms
(pow.f64 a (+.f64 t -1))

simplify1.7s (6.1%)

Algorithm
egg-herbie
Rules
994×associate-/l/_binary64
623×associate-*r/_binary64
427×associate-/r/_binary64
213×associate-/r*_binary64
201×/-rgt-identity_binary64
Counts
1986 → 3197
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0253974747
1498574727
2499474727

prune4.1s (14.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New319523197
Fresh224
Picked011
Done011
Total319763203
Error
0b
Counts
3203 → 6
Alt Table
StatusErrorProgram
20.2b
(*.f64 (*.f64 x (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))) (/.f64 1 y))
29.3b
(*.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y))) (sqrt.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y))))
19.1b
(*.f64 x (/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y))
2.1b
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
27.7b
(fma.f64 (/.f64 (pow.f64 z y) (exp.f64 b)) (/.f64 x (*.f64 a y)) (/.f64 (*.f64 (log.f64 a) (*.f64 t (*.f64 (pow.f64 z y) x))) (*.f64 (exp.f64 b) (*.f64 y a))))
20.2b
(/.f64 1 (/.f64 y (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) x)))
Compiler

Compiled 118337 to 49444 computations (58.2% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))
0.1b
(pow.f64 a (+.f64 t -1))
0.5b
(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
1.4b
(*.f64 (*.f64 x (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))) (/.f64 1 y))

series1.6s (5.8%)

Counts
2 → 108
Calls

2 calls:

1.4s
(*.f64 (*.f64 x (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))) (/.f64 1 y))
198.0ms
(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))

rewrite44.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
202×add-exp-log_binary64
115×div-exp_binary64
108×prod-exp_binary64
36×add-cbrt-cube_binary64
33×times-frac_binary64
Counts
2 → 145
Calls

2 calls:

19.0ms
(*.f64 (*.f64 x (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))) (/.f64 1 y))
6.0ms
(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))

simplify184.0ms (0.7%)

Algorithm
egg-herbie
Rules
724×fma-def_binary64
355×associate-*r*_binary64
341×associate-*l*_binary64
241×associate-/l*_binary64
237×times-frac_binary64
Counts
253 → 230
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03667200
19386427
236606166
348086166
449896166

prune898.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New7520752
Fresh033
Picked011
Done022
Total7526758
Error
0b
Counts
758 → 6
Alt Table
StatusErrorProgram
20.2b
(*.f64 (*.f64 x (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))) (/.f64 1 y))
29.3b
(*.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y))) (sqrt.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y))))
19.1b
(*.f64 x (/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y))
2.1b
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
27.7b
(fma.f64 (/.f64 (pow.f64 z y) (exp.f64 b)) (/.f64 x (*.f64 a y)) (/.f64 (*.f64 (log.f64 a) (*.f64 t (*.f64 (pow.f64 z y) x))) (*.f64 (exp.f64 b) (*.f64 y a))))
20.2b
(/.f64 1 (/.f64 y (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) x)))
Compiler

Compiled 24611 to 11704 computations (52.4% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))
0.1b
(pow.f64 a (+.f64 t -1))
0.5b
(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
1.4b
(/.f64 y (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) x))

series1.5s (5.3%)

Counts
1 → 72
Calls

1 calls:

1.5s
(/.f64 y (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) x))

rewrite25.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
47×add-exp-log_binary64
35×div-exp_binary64
15×add-cbrt-cube_binary64
13×prod-exp_binary64
cbrt-undiv_binary64
Counts
1 → 38
Calls

1 calls:

21.0ms
(/.f64 y (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) x))

simplify122.0ms (0.4%)

Algorithm
egg-herbie
Rules
493×fma-def_binary64
381×times-frac_binary64
303×associate-/l*_binary64
238×associate-*r*_binary64
236×associate-/r*_binary64
Counts
110 → 82
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02503723
17783296
232873164
349703164
450203164

prune851.0ms (3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New7090709
Fresh022
Picked011
Done033
Total7096715
Error
0b
Counts
715 → 6
Alt Table
StatusErrorProgram
20.2b
(*.f64 (*.f64 x (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))) (/.f64 1 y))
29.3b
(*.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y))) (sqrt.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y))))
19.1b
(*.f64 x (/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y))
2.1b
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
27.7b
(fma.f64 (/.f64 (pow.f64 z y) (exp.f64 b)) (/.f64 x (*.f64 a y)) (/.f64 (*.f64 (log.f64 a) (*.f64 t (*.f64 (pow.f64 z y) x))) (*.f64 (exp.f64 b) (*.f64 y a))))
20.2b
(/.f64 1 (/.f64 y (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) x)))
Compiler

Compiled 23521 to 11182 computations (52.5% saved)

regimes2.9s (10.2%)

Accuracy

Total 2.0b remaining (97.9%)

Threshold costs 0b (0%)

Counts
215 → 3
Compiler

Compiled 62345 to 43048 computations (31% saved)

bsearch9.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify5.0ms (0%)

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
03076
14576
24976
35176
45276
55076

end118.0ms (0.4%)

Compiler

Compiled 280 to 183 computations (34.6% saved)

Profiling

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