Details

Time bar (total: 14.9s)

sample195.0ms

Algorithm
intervals
Results
80.0ms1490×body80nan
31.0ms505×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
03310
17310
21978
35588
422878
550018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (log z))
0.3b
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.8b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
24×exp-sum
19×associate-*r*
18×prod-diff
13×add-cbrt-cube
11×add-exp-log
10×add-log-exp
9×pow1
6×log-prod associate-*l*
5×exp-prod
4×expm1-log1p-u log1p-expm1-u
3×distribute-rgt-in distribute-lft-in times-frac exp-diff prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv sub-neg diff-log associate-*r/ div-exp pow-prod-down associate--l+ *-commutative unswap-sqr
1×frac-2neg clear-num sum-log log-pow div-inv associate-/l/ associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 114
Calls
4 calls:
4.0ms
(* y (log z))
114.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
85.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
38.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series496.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* y (log z))
157.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
179.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
121.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify60.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05061444
121271104
250021062

prune491.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b
(fma (log (/ 1 a)) t b)
0.3b
(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.8b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite64.0ms

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:
0.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms
(fma (log (/ 1 a)) t b)
41.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
14.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series874.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
83.0ms
(fma (log (/ 1 a)) t b)
358.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
347.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify95.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
09042177
141421910
250011900

prune801.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
0.3b
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
0.3b
(* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))
0.8b
(/ (* (* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))) (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
471×add-exp-log
237×div-exp
184×prod-exp
76×pow-exp
58×times-frac
45×add-cbrt-cube
41×add-sqr-sqrt
30×associate-*r*
27×unpow-prod-down
26×pow-to-exp *-un-lft-identity
24×add-cube-cbrt
20×cbrt-unprod
19×cbrt-undiv
12×rec-exp 1-exp
11×sqrt-prod
8×cbrt-prod unswap-sqr
6×pow1
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* div-inv associate-/l/
2×pow1/3 exp-sum fma-udef sqr-pow
1×frac-times frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 199
Calls
4 calls:
1.0ms
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
1.0ms
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
45.0ms
(* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))
109.0ms
(/ (* (* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))) (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

series1.6s

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
125.0ms
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
719.0ms
(* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))
589.0ms
(/ (* (* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))) (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

simplify84.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014056081
150015185

prune920.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
0.3b
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
0.3b
(* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))
0.7b
(/ y (* (* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))) (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
471×add-exp-log
237×div-exp
184×prod-exp
76×pow-exp
58×times-frac
45×add-cbrt-cube
41×add-sqr-sqrt
30×associate-*r*
27×unpow-prod-down
26×pow-to-exp *-un-lft-identity
24×add-cube-cbrt
20×cbrt-unprod
19×cbrt-undiv
12×rec-exp 1-exp
11×sqrt-prod
8×cbrt-prod unswap-sqr
6×pow1
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/r/ div-inv associate-/l*
2×pow1/3 exp-sum fma-udef sqr-pow
1×frac-times frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 199
Calls
4 calls:
1.0ms
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
1.0ms
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
45.0ms
(* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))
110.0ms
(/ y (* (* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))) (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
130.0ms
(cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
726.0ms
(* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))
329.0ms
(/ y (* (* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))) (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
014646118
150015228

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes283.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03759
13759

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.4s45653×body80nan
945.0ms15039×body80valid