Details

Time bar (total: 1.5m)

sample349.0ms

Algorithm
intervals
Results
158.0ms1364×body80nan
50.0ms469×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
01718
13317
27317
318916
451416
5174716
done500016

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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)

rewrite494.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod exp-sum
10×pow1 add-log-exp
9×prod-diff
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
4×expm1-log1p-u log1p-expm1-u
3×times-frac 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 → 112
Calls
4 calls:
36.0ms
(* (- t 1.0) (log a))
11.0ms
(* y (log z))
148.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
296.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series678.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (- t 1.0) (log a))
77.0ms
(* y (log z))
226.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
294.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.6s

Counts
124 → 124
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02752031
15801829
216521505
done50011399

prune575.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
4560×times-frac
2264×add-sqr-sqrt
2209×*-un-lft-identity
2207×add-cube-cbrt
1258×associate-*r*
1012×unpow-prod-up
994×unpow-prod-down
828×prod-diff
336×sqr-pow
92×sub-neg
77×associate-/r*
70×add-exp-log
58×div-exp
35×div-inv
34×associate-/r/
31×pow-sub
25×add-cbrt-cube
16×pow-to-exp pow-exp
14×prod-exp unswap-sqr
10×cbrt-undiv associate-/l*
7×pow1
5×pow-unpow
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×associate-*l*
2×frac-2neg clear-num
1×pow-pow associate-*r/ pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 1936
Calls
4 calls:
7.0ms
(pow a (- t 1.0))
33.0ms
(/ (exp b) (pow a (- t 1.0)))
804.0ms
(* x (/ (/ (pow z y) (/ (exp b) (pow a (- t 1.0)))) y))
43.0ms
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))

series814.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(pow a (- t 1.0))
154.0ms
(/ (exp b) (pow a (- t 1.0)))
335.0ms
(* x (/ (/ (pow z y) (/ (exp b) (pow a (- t 1.0)))) y))
243.0ms
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))

simplify4.9s

Counts
1948 → 1948
Iterations

Useful iterations: done (4.7s)

IterNodesCost
0339452461
done500145669

prune14.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (log a) (- t 1.0))
0.2b
(* (log z) y)
0.5b
(* x (/ (exp (- (* (log z) y) (- b (* (log a) (- t 1.0))))) y))
1.0b
(exp (- (* (log z) y) (- b (* (log a) (- t 1.0)))))

rewrite683.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
41×*-un-lft-identity
39×add-cube-cbrt associate-*r*
30×prod-diff
28×times-frac
24×exp-sum
13×add-cbrt-cube
12×pow1 add-exp-log
11×distribute-rgt-in distribute-lft-in associate-*l*
10×add-log-exp
6×sub-neg
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u associate--r- unswap-sqr
3×exp-prod diff-log associate-*r/ pow-prod-down *-commutative rem-exp-log
2×log-pow
1×cbrt-undiv flip3-- exp-diff div-exp flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 142
Calls
4 calls:
26.0ms
(* (log a) (- t 1.0))
10.0ms
(* (log z) y)
574.0ms
(* x (/ (exp (- (* (log z) y) (- b (* (log a) (- t 1.0))))) y))
63.0ms
(exp (- (* (log z) y) (- b (* (log a) (- t 1.0)))))

series678.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (log a) (- t 1.0))
95.0ms
(* (log z) y)
243.0ms
(* x (/ (exp (- (* (log z) y) (- b (* (log a) (- t 1.0))))) y))
175.0ms
(exp (- (* (log z) y) (- b (* (log a) (- t 1.0)))))

simplify1.7s

Counts
154 → 154
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03212850
17022288
219691960
done50001852

prune791.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
19184×times-frac
8505×add-sqr-sqrt *-un-lft-identity
8503×add-cube-cbrt
3147×unpow-prod-down
3091×unpow-prod-up
2529×prod-diff
1336×associate-/r*
1049×sqr-pow
281×sub-neg
111×associate-/r/ div-inv
94×pow-sub
72×div-exp
70×add-exp-log
25×add-cbrt-cube
16×pow-to-exp pow-exp
14×cbrt-undiv
13×associate-/l*
5×pow1 pow-unpow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×pow-pow distribute-lft-out-- difference-of-squares
Counts
4 → 5701
Calls
4 calls:
15.0ms
(pow a (- t 1.0))
30.0ms
(/ (exp b) (pow a (- t 1.0)))
518.0ms
(/ x (/ y (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))
71.0ms
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))

series865.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(pow a (- t 1.0))
128.0ms
(/ (exp b) (pow a (- t 1.0)))
334.0ms
(/ x (/ y (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))
288.0ms
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))

simplify4.2s

Counts
5713 → 5713
Iterations

Useful iterations: 0 (917.0ms)

IterNodesCost
09437238939
done9437238939

prune51.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes3.0ms