Details

Time bar (total: 17.6s)

sample396.0ms

Algorithm
intervals
Results
209.0ms1364×body80nan
61.0ms469×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
01718
13218
26518
317916
448716
5167116
done500116

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.2b
(* y (log z))
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite338.0ms

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:
24.0ms
(* (- t 1.0) (log a))
9.0ms
(* y (log z))
96.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
207.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series642.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (- t 1.0) (log a))
49.0ms
(* y (log z))
194.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
325.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.3s

Counts
107 → 107
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02311531
14931495
214661209
done50001155

prune589.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow a (- t 1.0))
0.3b
(* (pow a (- t 1.0)) (pow z y))
0.4b
(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))
0.7b
(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
131×add-exp-log
65×prod-exp
61×div-exp
36×add-cbrt-cube
35×add-sqr-sqrt
31×pow-to-exp pow-exp
23×*-un-lft-identity times-frac
21×add-cube-cbrt
15×unpow-prod-down
13×cbrt-undiv
9×associate-*l* cbrt-unprod unswap-sqr sqr-pow
7×associate-*r* associate-/r* pow-sub
6×associate-*l/ associate-/r/ div-inv
5×pow1 pow-unpow
4×unpow-prod-up associate-/l* add-log-exp
2×sub-neg frac-2neg clear-num
1×pow-pow *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 168
Calls
4 calls:
6.0ms
(pow a (- t 1.0))
25.0ms
(* (pow a (- t 1.0)) (pow z y))
45.0ms
(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))
48.0ms
(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))

series876.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(pow a (- t 1.0))
191.0ms
(* (pow a (- t 1.0)) (pow z y))
325.0ms
(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))
275.0ms
(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))

simplify2.0s

Counts
180 → 180
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02833364
17533156
229462797
done50002745

prune766.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp b))
0.3b
(* (pow a t) (pow z y))
0.4b
(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))
0.7b
(/ (* y (exp b)) (* (pow a t) (pow z y)))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
311×add-exp-log
185×prod-exp
144×div-exp
75×pow-to-exp pow-exp
45×add-cbrt-cube
26×add-sqr-sqrt
15×cbrt-unprod
14×cbrt-undiv
12×add-cube-cbrt unpow-prod-down *-un-lft-identity
10×associate-*r* associate-*l* unswap-sqr
8×sqr-pow
6×pow1
4×times-frac associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r* *-commutative div-inv
1×pow-prod-down associate-*l/ associate-/r/
Counts
4 → 184
Calls
4 calls:
23.0ms
(* y (exp b))
17.0ms
(* (pow a t) (pow z y))
80.0ms
(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))
29.0ms
(/ (* y (exp b)) (* (pow a t) (pow z y)))

series937.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* y (exp b))
123.0ms
(* (pow a t) (pow z y))
552.0ms
(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))
233.0ms
(/ (* y (exp b)) (* (pow a t) (pow z y)))

simplify1.9s

Counts
196 → 196
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02833616
17963339
229832899
done50002871

prune656.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow a (- t 1.0))
0.2b
(/ (pow a (- t 1.0)) (exp b))
0.5b
(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))
0.7b
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×add-exp-log
66×times-frac
47×*-un-lft-identity
45×add-cube-cbrt
38×associate-*r* prod-exp
34×unpow-prod-down div-exp
25×add-cbrt-cube
16×unpow-prod-up pow-to-exp pow-exp sqr-pow
13×unswap-sqr
10×associate-*l*
9×associate-/l*
8×sub-neg cbrt-unprod
7×pow1
6×cbrt-undiv
5×pow-unpow
4×add-log-exp
3×associate-/r* div-inv
2×associate-*r/ *-commutative pow-sub
1×pow-pow frac-2neg pow-prod-down clear-num associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 188
Calls
4 calls:
7.0ms
(pow a (- t 1.0))
12.0ms
(/ (pow a (- t 1.0)) (exp b))
70.0ms
(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))
47.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))

series929.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(pow a (- t 1.0))
159.0ms
(/ (pow a (- t 1.0)) (exp b))
362.0ms
(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))
308.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))

simplify1.8s

Counts
200 → 200
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03163410
17913231
228362918
done50002913

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes3.0ms