Details

Time bar (total: 12.9s)

sample191.0ms

Algorithm
intervals
Results
79.0ms1519×body80nan
30.0ms510×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.6b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod
10×pow1 add-log-exp
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
3×times-frac exp-sum 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 → 95
Calls
4 calls:
8.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
7.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series423.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (- t 1.0) (log a))
51.0ms
(* y (log z))
171.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
139.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify60.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0493869
12033715
25001683

prune369.0ms

Filtered
107 candidates to 75 candidates (70.1%)
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 (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.3b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.6b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
96×add-sqr-sqrt
81×associate-*r*
76×*-un-lft-identity
75×add-cube-cbrt
55×unpow-prod-down
45×add-exp-log
26×log-prod
24×div-exp
22×add-cbrt-cube
17×exp-sum
16×prod-exp
14×pow1
13×distribute-rgt-in distribute-lft-in
12×associate-*l*
8×pow-exp div-inv unswap-sqr
6×log-pow cbrt-unprod
5×cbrt-undiv sqr-pow
4×add-log-exp
3×pow-prod-down associate-/r* *-commutative
2×pow-to-exp rec-exp pow-flip 1-exp associate-*r/ log-rec inv-pow
1×distribute-lft-neg-out frac-2neg clear-num distribute-rgt-neg-out associate-/l/ associate-/l*
Counts
4 → 199
Calls
4 calls:
29.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
5.0ms
(* (log (/ 1 a)) t)
7.0ms
(* y (log (/ 1 z)))
24.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series828.0ms

Counts
4 → 12
Calls
4 calls:
378.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
65.0ms
(* (log (/ 1 a)) t)
39.0ms
(* y (log (/ 1 z)))
346.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010772667
150022322

prune866.0ms

Filtered
211 candidates to 145 candidates (68.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.3b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.6b
(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
122×add-exp-log
101×add-sqr-sqrt
94×associate-*r*
81×*-un-lft-identity
80×add-cube-cbrt
69×prod-exp
56×div-exp
55×unpow-prod-down
34×add-cbrt-cube
26×log-prod
20×pow-exp
19×pow1
17×exp-sum
14×cbrt-unprod
13×distribute-rgt-in rec-exp distribute-lft-in 1-exp associate-*l*
8×div-inv unswap-sqr
6×cbrt-undiv pow-prod-down log-pow
5×pow-to-exp sqr-pow
4×associate-*r/ *-commutative add-log-exp
2×pow-flip log-rec inv-pow
1×distribute-lft-neg-out frac-times associate-*l/ un-div-inv distribute-rgt-neg-out
Counts
4 → 236
Calls
4 calls:
31.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
5.0ms
(* (log (/ 1 a)) t)
6.0ms
(* y (log (/ 1 z)))
24.0ms
(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

series812.0ms

Counts
4 → 12
Calls
4 calls:
358.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
60.0ms
(* (log (/ 1 a)) t)
45.0ms
(* y (log (/ 1 z)))
349.0ms
(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

simplify56.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012913345
150022893

prune905.0ms

Filtered
248 candidates to 153 candidates (61.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
0.6b
(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
1.5b
(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
1.5b
(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
204×add-exp-log
120×prod-exp
96×div-exp
46×add-cbrt-cube
32×pow-exp
26×pow1 associate-*r*
24×rec-exp 1-exp
20×cbrt-unprod
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
12×associate-*r/ pow-prod-down
10×cbrt-undiv
8×pow-to-exp sqrt-div
6×sqrt-pow1
4×frac-times associate-*l/ un-div-inv add-log-exp
2×pow1/2 associate-*l* sqrt-prod *-commutative div-inv
Counts
4 → 164
Calls
4 calls:
25.0ms
(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
24.0ms
(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
19.0ms
(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
24.0ms
(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
347.0ms
(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
360.0ms
(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
293.0ms
(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
290.0ms
(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

simplify93.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06753078
128372556
250012376

prune617.0ms

Filtered
176 candidates to 84 candidates (47.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015
13015

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.4s46504×body80nan
935.0ms15230×body80valid