Details

Time bar (total: 14.9s)

sample180.0ms

Algorithm
intervals
Results
73.0ms1461×body80nan
30.0ms463×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

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:
19.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
78.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
30.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series402.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (- t 1.0) (log a))
36.0ms
(* y (log z))
172.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
123.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify58.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0493869
12033715
25001683

prune363.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)))
0.9b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite285.0ms

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:
144.0ms
(* 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)))
117.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series801.0ms

Counts
4 → 12
Calls
4 calls:
361.0ms
(* x (/ (pow (/ 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)))
340.0ms
(/ (* 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 (27.0ms)

IterNodesCost
010772667
150022322

prune802.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.3b
(* y (log (/ 1 z)))
0.9b
(/ (* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite512.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
52×log-prod
48×div-exp
46×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
39×times-frac prod-exp add-cbrt-cube
26×distribute-rgt-in distribute-lft-in
16×pow1
15×associate-*r*
13×cbrt-unprod
12×cbrt-undiv associate-*l*
9×pow-to-exp pow-exp log-pow
5×div-inv
4×add-log-exp
3×pow-flip associate-*r/ log-rec pow-prod-down associate-/r* *-commutative associate-/l/ inv-pow unswap-sqr
2×distribute-rgt-neg-out
1×distribute-lft-neg-out frac-times frac-2neg associate-*l/ clear-num associate-/l*
Counts
4 → 166
Calls
4 calls:
5.0ms
(* (log (/ 1 a)) t)
7.0ms
(* y (log (/ 1 z)))
7.0ms
(* y (log (/ 1 z)))
484.0ms
(/ (* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series484.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (log (/ 1 a)) t)
37.0ms
(* y (log (/ 1 z)))
42.0ms
(* y (log (/ 1 z)))
343.0ms
(/ (* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify91.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07652763
134561912
250011737

prune708.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.3b
(* y (log (/ 1 z)))
0.4b
(* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

rewrite679.0ms

Algorithm
rewrite-expression-head
Rules
1077×times-frac
513×sqrt-prod
501×add-sqr-sqrt
495×add-cube-cbrt *-un-lft-identity
451×associate-*r*
336×unpow-prod-down
120×add-exp-log
60×exp-sum
52×log-prod
50×div-exp
48×prod-exp
46×add-cbrt-cube
29×div-inv
26×distribute-rgt-in distribute-lft-in
21×pow1 sqr-pow
18×cbrt-unprod
13×associate-*l*
12×cbrt-undiv
10×pow-to-exp pow-exp
9×log-pow
6×pow-prod-down
4×*-commutative add-log-exp
3×pow-flip associate-*r/ log-rec inv-pow unswap-sqr
2×distribute-rgt-neg-out
1×distribute-lft-neg-out frac-times associate-*l/
Counts
4 → 602
Calls
4 calls:
5.0ms
(* (log (/ 1 a)) t)
7.0ms
(* y (log (/ 1 z)))
7.0ms
(* y (log (/ 1 z)))
595.0ms
(* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

series513.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (log (/ 1 a)) t)
46.0ms
(* y (log (/ 1 z)))
39.0ms
(* y (log (/ 1 z)))
368.0ms
(* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

simplify224.0ms

Algorithm
egg-herbie
Counts
614 → 614
Iterations

Useful iterations: 1 (66.0ms)

IterNodesCost
0367917046
1500216364

prune2.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes317.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04372
14372

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.2s45345×body80nan
918.0ms15161×body80valid