Details

Time bar (total: 13.2s)

sample177.0ms

Algorithm
intervals
Results
74.0ms1417×body80nan
31.0ms469×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03310
17310
21978
35588
422878
550018

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.2b
(* y (log z))
0.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

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))
4.0ms
(* y (log z))
80.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
35.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series374.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (- t 1.0) (log a))
37.0ms
(* y (log z))
166.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
114.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify60.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05801143
12309897
25002860

prune408.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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)
0.5b
(/ (* 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)

series845.0ms

Counts
4 → 12
Calls
4 calls:
348.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
85.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
73.0ms
(fma (log (/ 1 a)) t b)
339.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify94.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
09042177
141411915
250011905

prune744.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 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)
0.5b
(/ (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
306×add-exp-log
179×times-frac
170×prod-exp
161×div-exp
108×associate-*r*
89×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
88×unpow-prod-down
82×pow-exp
36×cbrt-prod
34×add-cbrt-cube
28×fma-udef
26×pow-to-exp exp-sum
20×1-exp
12×cbrt-unprod
9×cbrt-undiv
6×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×associate-/r*
2×associate-*r/
1×frac-2neg associate-*l* pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
4 → 251
Calls
4 calls:
53.0ms
(* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 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)
29.0ms
(/ (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series850.0ms

Counts
4 → 12
Calls
4 calls:
343.0ms
(* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
85.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
79.0ms
(fma (log (/ 1 a)) t b)
343.0ms
(/ (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify80.0ms

Algorithm
egg-herbie
Counts
263 → 263
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015975196
150014650

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (log (/ 1 a)) t b)
0.2b
(/ (cbrt (cbrt 1)) (sqrt a))
0.2b
(/ (* (cbrt (cbrt 1)) (cbrt (cbrt 1))) (sqrt a))
0.5b
(/ (* (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (* (cbrt (cbrt 1)) (cbrt (cbrt 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 (/ (cbrt (cbrt 1)) (sqrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
3454×add-exp-log
1674×div-exp
1661×prod-exp
693×pow-exp
224×pow-to-exp
110×1-exp
74×add-cbrt-cube
63×cbrt-prod times-frac
51×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
37×cbrt-unprod
36×sqrt-prod
33×cbrt-undiv
15×associate-/r*
11×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*r/ clear-num div-inv associate-/l/
1×frac-times associate-*l/ fma-udef
Counts
4 → 605
Calls
4 calls:
0.0ms
(fma (log (/ 1 a)) t b)
8.0ms
(/ (cbrt (cbrt 1)) (sqrt a))
6.0ms
(/ (* (cbrt (cbrt 1)) (cbrt (cbrt 1))) (sqrt a))
155.0ms
(/ (* (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (* (cbrt (cbrt 1)) (cbrt (cbrt 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 (/ (cbrt (cbrt 1)) (sqrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

series722.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(fma (log (/ 1 a)) t b)
27.0ms
(/ (cbrt (cbrt 1)) (sqrt a))
34.0ms
(/ (* (cbrt (cbrt 1)) (cbrt (cbrt 1))) (sqrt a))
584.0ms
(/ (* (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (* (cbrt (cbrt 1)) (cbrt (cbrt 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 (/ (cbrt (cbrt 1)) (sqrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

simplify221.0ms

Algorithm
egg-herbie
Counts
617 → 617
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
0324024650
1500222666

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02919
12919

end0.0ms

sample5.1s

Algorithm
intervals
Results
2.2s44143×body80nan
914.0ms14865×body80valid