Details

Time bar (total: 38.6s)

sample463.0ms

Algorithm
intervals
Results
219.0ms1465×body80nan
58.0ms489×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
53114
4560
3180
265
132
017

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.8b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.2b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
12×log-prod add-exp-log
10×pow1 add-log-exp
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
3×associate-/r* times-frac exp-sum prod-exp 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×clear-num sum-log sub-neg frac-2neg flip3-- associate--l+ associate-*r/ div-inv flip-- associate-/l* associate-/l/
Counts
4 → 95
Calls
4 calls:
31.0ms
(* (- t 1.0) (log a))
8.0ms
(* y (log z))
205.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
76.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series596.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (- t 1.0) (log a))
56.0ms
(* y (log z))
280.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
186.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify887.0ms

Counts
107 → 107
Iterations
IterNodes
done5001
22141
1534
0233

prune896.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (pow a (- 1.0)) (* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t))))
0.1b
(* x (/ (pow a (- 1.0)) (* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t)))))
0.2b
(* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t)))
0.8b
(/ (* x (/ (pow a (- 1.0)) (* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t))))) y)

rewrite933.0ms

Algorithm
rewrite-expression-head
Rules
1505×add-exp-log
1040×prod-exp
778×div-exp
649×pow-exp
259×pow-to-exp
130×rec-exp 1-exp
52×add-cbrt-cube
26×times-frac
24×add-sqr-sqrt
22×unpow-prod-down *-un-lft-identity add-cube-cbrt
20×associate-*l* cbrt-unprod
14×cbrt-undiv
12×associate-*r*
8×associate-/l*
6×pow1
4×associate-/r* div-inv add-log-exp sqr-pow
3×associate-/l/
2×clear-num frac-2neg associate-*r/ *-commutative
1×neg-sub0 pow-neg pow-prod-down pow-sub unswap-sqr
Counts
4 → 542
Calls
4 calls:
64.0ms
(/ (pow a (- 1.0)) (* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t))))
183.0ms
(* x (/ (pow a (- 1.0)) (* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t)))))
76.0ms
(* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t)))
527.0ms
(/ (* x (/ (pow a (- 1.0)) (* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t))))) y)

series1.7s

Counts
4 → 12
Calls
4 calls:
380.0ms
(/ (pow a (- 1.0)) (* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t))))
552.0ms
(* x (/ (pow a (- 1.0)) (* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t)))))
222.0ms
(* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t)))
555.0ms
(/ (* x (/ (pow a (- 1.0)) (* (pow (/ 1 z) y) (* (exp b) (pow (/ 1 a) t))))) y)

simplify1.5s

Counts
554 → 554
Iterations
IterNodes
done5000
11546
0503

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (pow a (- 1.0)) (* (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))) (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))))))
0.2b
(* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))
0.2b
(* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))
0.8b
(/ (* x (/ (pow a (- 1.0)) (* (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))) (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y)))))) y)

rewrite2.2s

Algorithm
rewrite-expression-head
Rules
223×add-exp-log
176×prod-exp
108×pow-exp
72×div-exp
45×associate-*r*
37×add-cbrt-cube
33×add-sqr-sqrt
31×times-frac
30×pow-to-exp unpow-prod-down
26×rec-exp *-un-lft-identity 1-exp add-cube-cbrt
14×cbrt-unprod
8×cbrt-undiv
6×pow1
5×associate-*l*
4×div-inv add-log-exp unswap-sqr sqr-pow
3×associate-/r* *-commutative
2×associate-*r/
1×clear-num frac-2neg pow-prod-down associate-/l* associate-/l/
Counts
4 → 208
Calls
4 calls:
1.1s
(* x (/ (pow a (- 1.0)) (* (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))) (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))))))
73.0ms
(* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))
71.0ms
(* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))
988.0ms
(/ (* x (/ (pow a (- 1.0)) (* (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))) (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y)))))) y)

series1.4s

Counts
4 → 12
Calls
4 calls:
508.0ms
(* x (/ (pow a (- 1.0)) (* (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))) (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))))))
183.0ms
(* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))
189.0ms
(* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))
545.0ms
(/ (* x (/ (pow a (- 1.0)) (* (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y))) (sqrt (* (* (exp b) (pow (/ 1 a) t)) (pow (/ 1 z) y)))))) y)

simplify1.7s

Counts
220 → 220
Iterations
IterNodes
done5002
24206
1891
0317

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (* (* (cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x)) (cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))) (cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))) y)
2.3b
(cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))
2.3b
(cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))
2.3b
(cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
15×cbrt-div
13×add-exp-log
9×add-cbrt-cube
7×associate-/l/
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×frac-times
4×pow1 add-log-exp
3×cbrt-prod cbrt-undiv associate-/r* times-frac pow1/3 div-exp prod-exp associate-*r/ cbrt-unprod
1×clear-num frac-2neg div-inv associate-/l*
Counts
4 → 60
Calls
4 calls:
58.0ms
(/ (* (* (cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x)) (cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))) (cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))) y)
79.0ms
(cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))
84.0ms
(cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))
47.0ms
(cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))

series3.1s

Counts
4 → 12
Calls
4 calls:
884.0ms
(/ (* (* (cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x)) (cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))) (cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))) y)
780.0ms
(cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))
766.0ms
(cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))
706.0ms
(cbrt (* (/ (/ (pow a (- 1.0)) (pow z (- y))) (* (pow (/ 1 a) t) (exp b))) x))

simplify1.2s

Counts
72 → 72
Iterations
IterNodes
done5002
21960
1473
0174

prune840.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.4s

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
121
017

end0.0ms

sample14.4s

Algorithm
intervals
Results
6.5s44344×body80nan
3.0s14990×body80valid