Details

Time bar (total: 42.8s)

analyze1.1s (2.7%)

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
6.2%90.4%3.4%6
6.2%90.4%3.4%7
6.2%88.8%5%8
7.8%77.9%14.3%9
7.8%56.5%35.7%10
7.8%56.5%35.7%11
8.1%41.5%50.3%12
8.3%41.4%50.3%13
8.4%40.2%51.4%14
Compiler

Compiled 25 to 18 computations (28% saved)

sample122.0ms (0.3%)

Algorithm
intervals
Results
32.0ms370×body128nan
26.0ms256×body128valid
22.0ms228×body128invalid
Compiler

Compiled 55 to 41 computations (25.5% saved)

simplify65.0ms (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

prune5.0ms (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
25.0b
(*.f64 (*.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))
2.3b
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
Compiler

Compiled 132 to 90 computations (31.8% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (-.f64 t 1) (log.f64 a))
0.2b
(*.f64 y (log.f64 z))
1.1b
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))
1.5b
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite34.0ms (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:

12.0ms
(/.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))
6.0ms
(*.f64 (-.f64 t 1) (log.f64 a))
3.0ms
(*.f64 y (log.f64 z))

series4.8s (11.2%)

Counts
4 → 176
Calls

4 calls:

2.4s
(/.f64 (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
1.4s
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))
512.0ms
(*.f64 (-.f64 t 1) (log.f64 a))
483.0ms
(*.f64 y (log.f64 z))

simplify378.0ms (0.9%)

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 → 547
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03937243
18956044
233415911
345495911
449995911
549245911

prune470.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5416547
Fresh101
Picked101
Done000
Total5436549
Error
0.0b
Counts
549 → 6
Alt Table
StatusErrorProgram
21.8b
(/.f64 (*.f64 x (*.f64 (+.f64 (*.f64 (log.f64 a) t) 1) (/.f64 (pow.f64 z y) (*.f64 a (exp.f64 b))))) y)
23.2b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (cbrt.f64 y)))
21.5b
(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))
30.8b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y)) 3))
2.3b
(/.f64 1 (/.f64 y (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))))
25.5b
(fma.f64 (log.f64 z) (*.f64 x (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b))) (*.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (/.f64 x y)))
Compiler

Compiled 7319 to 3147 computations (57% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (-.f64 t 1) (log.f64 a))
0.2b
(*.f64 y (log.f64 z))
1.1b
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))
1.5b
(/.f64 y (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))))

rewrite11.0ms (0%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/l*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 24
Calls

1 calls:

10.0ms
(/.f64 y (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))))

series2.8s (6.7%)

Counts
1 → 72
Calls

1 calls:

2.8s
(/.f64 y (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))))

simplify127.0ms (0.3%)

Algorithm
egg-herbie
Rules
557×associate-/r/_binary64
339×associate-/l/_binary64
316×fma-neg_binary64
307×fma-def_binary64
201×cancel-sign-sub-inv_binary64
Counts
96 → 189
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01883518
15592931
220052849
347912847
449992847

prune248.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New5471548
Fresh145
Picked011
Done000
Total5486554
Error
0b
Counts
554 → 6
Alt Table
StatusErrorProgram
25.5b
(fma.f64 (log.f64 z) (*.f64 x (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b))) (*.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (/.f64 x y)))
23.9b
(/.f64 1 (*.f64 (/.f64 (/.f64 y x) (pow.f64 z y)) (/.f64 (exp.f64 b) (/.f64 (pow.f64 a t) a))))
21.8b
(/.f64 (*.f64 x (*.f64 (+.f64 (*.f64 (log.f64 a) t) 1) (/.f64 (pow.f64 z y) (*.f64 a (exp.f64 b))))) y)
21.5b
(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))
30.8b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y)) 3))
2.3b
(/.f64 1 (/.f64 y (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))))
Compiler

Compiled 7752 to 3450 computations (55.5% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 a (+.f64 t -1))
0.4b
(/.f64 (exp.f64 b) (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 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))

rewrite598.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
9016×times-frac_binary64
3564×*-un-lft-identity_binary64
3563×add-sqr-sqrt_binary64
3562×add-cube-cbrt_binary64
1938×unpow-prod-down_binary64
Counts
4 → 2797
Calls

4 calls:

106.0ms
(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))
13.0ms
(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
4.0ms
(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))
3.0ms
(pow.f64 a (+.f64 t -1))

series5.2s (12.1%)

Counts
4 → 192
Calls

4 calls:

2.6s
(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))
1.9s
(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
504.0ms
(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))
221.0ms
(pow.f64 a (+.f64 t -1))

simplify1.6s (3.6%)

Algorithm
egg-herbie
Counts
2989 → 3100
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05443161965

prune3.4s (7.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New309733100
Fresh314
Picked101
Done011
Total310153106
Error
0b
Counts
3106 → 5
Alt Table
StatusErrorProgram
25.4b
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 z) y)) x) (*.f64 (exp.f64 b) (*.f64 y a)))
21.8b
(/.f64 (*.f64 x (*.f64 (+.f64 (*.f64 (log.f64 a) t) 1) (/.f64 (pow.f64 z y) (*.f64 a (exp.f64 b))))) y)
21.4b
(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1))))))
25.0b
(/.f64 (/.f64 x (/.f64 y (pow.f64 z y))) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
2.3b
(/.f64 1 (/.f64 y (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))))
Compiler

Compiled 115594 to 48658 computations (57.9% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1)))))
0.4b
(/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1)))
0.5b
(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1))))
1.4b
(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1))))))

rewrite321.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
3081×times-frac_binary64
1125×*-un-lft-identity_binary64
1125×add-sqr-sqrt_binary64
1125×add-cube-cbrt_binary64
462×unpow-prod-down_binary64
Counts
4 → 1379
Calls

4 calls:

48.0ms
(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1))))))
18.0ms
(/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1)))))
10.0ms
(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1))))
7.0ms
(/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1)))

series7.3s (17.1%)

Counts
4 → 228
Calls

4 calls:

2.7s
(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1))))))
2.1s
(/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1)))))
1.9s
(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1))))
591.0ms
(/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1)))

simplify2.0s (4.8%)

Algorithm
egg-herbie
Rules
1732×associate-/r/_binary64
344×associate-/l*_binary64
78×sub-neg_binary64
75×remove-double-div_binary64
63×fma-def_binary64
Counts
1607 → 3173
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0232566706
1458166375
2488466343
3499466343
4498066343

prune2.3s (5.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New317033173
Fresh303
Picked101
Done011
Total317443178
Error
0b
Counts
3178 → 4
Alt Table
StatusErrorProgram
21.4b
(/.f64 x (/.f64 y (/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a t))) a)))
2.3b
(/.f64 1 (/.f64 y (*.f64 x (exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))))
24.9b
(/.f64 (/.f64 x (/.f64 y (pow.f64 z y))) (/.f64 (exp.f64 b) (*.f64 (pow.f64 a t) (pow.f64 a -1))))
25.1b
(/.f64 x (/.f64 (*.f64 a y) (*.f64 (pow.f64 z y) (pow.f64 a t))))
Compiler

Compiled 85376 to 29125 computations (65.9% saved)

regimes2.6s (6%)

Accuracy

Total 1.1b remaining (97.3%)

Threshold costs 0b (0%)

Compiler

Compiled 49160 to 33323 computations (32.2% saved)

bsearch8.0ms (0%)

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify26.0ms (0.1%)

Algorithm
egg-herbie
Rules
93×distribute-rgt-neg-in_binary64
77×cancel-sign-sub-inv_binary64
61×distribute-lft-neg-in_binary64
54×distribute-lft-neg-out_binary64
50×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048169
172169
290169
3118169
4148169
5171169
6199169
7228169
8259169
9287169
10311169
11342169
12373169
13415169
14456169
15479169
16488169
17490169
18486169

end1.0ms (0%)

Compiler

Compiled 115 to 54 computations (53% saved)

sample7.2s (16.8%)

Algorithm
intervals
Results
2.1s14671×body128nan
1.4s8000×body128valid
1.3s7407×body128invalid
Compiler

Compiled 237 to 139 computations (41.4% saved)

Profiling

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