Details

Time bar (total: 30.3s)

sample514.0ms

Algorithm
intervals
Results
216.0ms1530×body80nan
100.0ms511×body80valid

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
done5004
51760
4460
3167
263
132
017

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize163.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (log z))
0.3b
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.9b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
13×add-cbrt-cube add-cube-cbrt
11×add-exp-log
10×associate-*r* add-log-exp
9×pow1
6×log-prod associate-*l* exp-sum
5×exp-prod
4×insert-posit16
3×distribute-rgt-in associate-/r* distribute-lft-in times-frac exp-diff prod-exp cbrt-unprod rem-exp-log
2×cbrt-undiv sub-neg diff-log div-exp pow-prod-down associate--l+ associate-*r/ *-commutative unswap-sqr
1×clear-num sum-log frac-2neg log-pow div-inv associate-/l* distribute-lft-out-- difference-of-squares associate-/l/
Counts
4 → 92
Calls
4 calls:
21.0ms
(* y (log z))
569.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
227.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
488.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series1.2s

Counts
4 → 12
Calls
4 calls:
75.0ms
(* y (log z))
411.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
314.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
438.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify3.5s

Counts
104 → 104
Iterations
IterNodes
done5011
21257
1427
0191

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize129.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.2b
(* 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))

rewrite906.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
30×associate-*r*
28×*-un-lft-identity
24×add-cube-cbrt
19×times-frac
13×add-cbrt-cube
12×pow1 log-prod exp-sum add-exp-log
11×associate-*l*
10×add-log-exp
6×distribute-rgt-in distribute-lft-in
5×exp-prod
4×sub-neg prod-exp associate--l+ cbrt-unprod insert-posit16 unswap-sqr
3×pow-prod-down *-commutative rem-exp-log
2×diff-log associate-*l/ log-pow distribute-lft-out-- difference-of-squares
1×cbrt-undiv sum-log flip3-- exp-diff div-exp associate-*r/ div-inv flip--
Counts
4 → 118
Calls
4 calls:
74.0ms
(* (- t 1.0) (log a))
18.0ms
(* y (log z))
607.0ms
(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
194.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.0s

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (- t 1.0) (log a))
81.0ms
(* y (log z))
574.0ms
(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
275.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.8s

Counts
130 → 130
Iterations
IterNodes
done5000
21741
1611
0265

prune2.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.8b

localize403.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite685.0ms

Algorithm
rewrite-expression-head
Rules
22×add-log-exp
15×exp-prod
14×add-sqr-sqrt *-un-lft-identity
9×exp-sum rem-exp-log
8×add-cube-cbrt
6×diff-log
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×cbrt-prod sum-log sub-neg exp-diff associate--l+ distribute-lft-out-- difference-of-squares
1×pow1/3
Counts
4 → 72
Calls
4 calls:
2.0ms
(cbrt y)
210.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
237.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
232.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.3s

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt y)
363.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
362.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
298.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.9s

Counts
84 → 84
Iterations
IterNodes
done5000
31640
2493
1209
0101

prune2.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.7b

localize122.0ms