Details

Time bar (total: 30.2s)

sample260.0ms

Algorithm
intervals
Results
128.0ms1387×body80nan
55.0ms508×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03310
17310
21978
35588
422878
550018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod exp-sum
10×pow1 add-log-exp
9×prod-diff
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
4×expm1-log1p-u log1p-expm1-u
3×times-frac prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv exp-diff diff-log div-exp pow-prod-down associate-*l/ log-pow *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×sub-neg flip3-- frac-2neg associate-*r/ associate--l+ clear-num sum-log flip-- div-inv associate-/l/ associate-/l*
Counts
4 → 112
Calls
4 calls:
11.0ms
(* (- t 1.0) (log a))
6.0ms
(* y (log z))
32.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
80.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series383.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (- t 1.0) (log a))
38.0ms
(* y (log z))
113.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
173.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05801143
12309897
25002860

prune442.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.1b
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b
(fma (log (/ 1 a)) t b)
1.1b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
74×add-sqr-sqrt
72×associate-*r*
58×*-un-lft-identity
57×add-cube-cbrt
55×unpow-prod-down
41×add-exp-log
24×div-exp
19×fma-udef
18×add-cbrt-cube
17×exp-sum
14×prod-exp
8×pow-exp
6×pow1 div-inv unswap-sqr
5×cbrt-undiv sqr-pow
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×associate-*l* associate-/r*
2×pow-to-exp rec-exp 1-exp associate-*r/
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
4 → 153
Calls
4 calls:
37.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms
(fma (log (/ 1 a)) t b)
13.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series832.0ms

Counts
4 → 12
Calls
4 calls:
340.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
81.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
78.0ms
(fma (log (/ 1 a)) t b)
333.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify92.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
09042177
141421910
250011900

prune757.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.1b
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b
(fma (log (/ 1 a)) t b)
0.9b
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
3407×times-frac
1391×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
832×unpow-prod-down
293×associate-/r*
274×fma-udef
272×exp-sum
86×div-inv
64×sqr-pow
41×add-exp-log
38×div-exp
18×add-cbrt-cube
9×cbrt-undiv
8×pow-exp
6×associate-/r/ associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-to-exp rec-exp frac-2neg 1-exp clear-num
Counts
4 → 1244
Calls
4 calls:
22.0ms
(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms
(fma (log (/ 1 a)) t b)
62.0ms
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

series758.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
78.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
80.0ms
(fma (log (/ 1 a)) t b)
342.0ms
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

simplify348.0ms

Algorithm
egg-herbie
Counts
1256 → 1256
Iterations

Useful iterations: 1 (78.0ms)

IterNodesCost
0492830290
1500130288

prune7.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.3b
(cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.3b
(cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.6b
(* (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ x (/ y (cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))))

rewrite517.0ms

Algorithm
rewrite-expression-head
Rules
2635×times-frac
1101×add-sqr-sqrt
1073×*-un-lft-identity
1072×add-cube-cbrt
870×cbrt-prod
695×associate-*r*
627×unpow-prod-down
204×exp-sum fma-udef
64×div-inv
49×sqr-pow
25×add-exp-log
17×add-cbrt-cube
14×cbrt-div
9×pow1 prod-exp cbrt-unprod unswap-sqr
6×cbrt-undiv div-exp
5×frac-times associate-*l/
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
1×associate-*l* *-commutative
Counts
4 → 985
Calls
4 calls:
8.0ms
(cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
8.0ms
(cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
8.0ms
(cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
351.0ms
(* (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ x (/ y (cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
392.0ms
(cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
387.0ms
(cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
388.0ms
(cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
533.0ms
(* (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ x (/ y (cbrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))))

simplify349.0ms

Algorithm
egg-herbie
Counts
997 → 997
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0500136160

prune7.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02537
12537

end0.0ms

sample7.9s

Algorithm
intervals
Results
4.0s45263×body80nan
1.7s15097×body80valid