Details

Time bar (total: 13.1s)

sample195.0ms

Algorithm
intervals
Results
81.0ms1543×body80nan
33.0ms511×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:
7.0ms
(* (- t 1.0) (log a))
5.0ms
(* 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))

series378.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (- t 1.0) (log a))
41.0ms
(* y (log z))
166.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
117.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0493869
12033715
25001683

prune392.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

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)

series790.0ms

Counts
4 → 12
Calls
4 calls:
348.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
64.0ms
(* (log (/ 1 a)) t)
37.0ms
(* y (log (/ 1 z)))
341.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010772667
150022322

prune889.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize43.0ms

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
310×add-exp-log
197×times-frac
172×prod-exp
161×div-exp
117×associate-*r*
111×add-sqr-sqrt
107×add-cube-cbrt *-un-lft-identity
88×unpow-prod-down
82×pow-exp
38×add-cbrt-cube
36×cbrt-prod
26×pow-to-exp log-prod exp-sum
20×1-exp
14×pow1 cbrt-unprod
13×distribute-rgt-in distribute-lft-in
10×associate-*l*
9×cbrt-undiv
8×div-inv
6×log-pow
4×add-log-exp sqr-pow
3×pow-prod-down associate-/r* *-commutative
2×pow-flip associate-*r/ log-rec inv-pow unswap-sqr
1×distribute-lft-neg-out frac-2neg clear-num distribute-rgt-neg-out associate-/l/ associate-/l*
Counts
4 → 297
Calls
4 calls:
37.0ms
(* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
4.0ms
(* (log (/ 1 a)) t)
7.0ms
(* y (log (/ 1 z)))
34.0ms
(/ (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series780.0ms

Counts
4 → 12
Calls
4 calls:
337.0ms
(* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
61.0ms
(* (log (/ 1 a)) t)
37.0ms
(* y (log (/ 1 z)))
344.0ms
(/ (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify77.0ms

Algorithm
egg-herbie
Counts
309 → 309
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
017595840
150015297

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
741×add-exp-log
488×div-exp
342×prod-exp
164×pow-exp
82×1-exp
57×times-frac
52×pow-to-exp
51×add-cbrt-cube
45×add-sqr-sqrt
42×rec-exp
41×add-cube-cbrt *-un-lft-identity
26×log-prod
20×cbrt-undiv
14×cbrt-unprod
13×pow1 distribute-rgt-in distribute-lft-in
9×associate-*r* associate-*l* associate-/r*
8×div-inv
6×associate-/r/ log-pow associate-/l*
5×associate-*r/
4×add-log-exp
3×pow-flip inv-pow
2×frac-2neg log-rec pow-prod-down clear-num *-commutative unswap-sqr
1×distribute-lft-neg-out distribute-rgt-neg-out
Counts
4 → 314
Calls
4 calls:
40.0ms
(/ 1 (/ y (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 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)))
30.0ms
(/ y (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))

series830.0ms

Counts
4 → 12
Calls
4 calls:
364.0ms
(/ 1 (/ y (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))
64.0ms
(* (log (/ 1 a)) t)
38.0ms
(* y (log (/ 1 z)))
364.0ms
(/ y (* (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) x) (/ (pow (/ (cbrt 1) a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))

simplify78.0ms

Algorithm
egg-herbie
Counts
326 → 326
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
013166915
150016068

prune768.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes284.0ms

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
03622
13622

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.4s46105×body80nan
948.0ms15278×body80valid