Details

Time bar (total: 32.7s)

sample436.0ms

Algorithm
intervals
Results
153.0ms1465×body80nan
102.0ms489×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5001
53079
4563
3190
273
133
017

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize26.0ms

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))

rewrite348.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
13×add-cbrt-cube
12×log-prod exp-sum add-exp-log
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×associate-/r* times-frac 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 → 112
Calls
4 calls:
29.0ms
(* (- t 1.0) (log a))
13.0ms
(* y (log z))
203.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
100.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series585.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (- t 1.0) (log a))
63.0ms
(* y (log z))
292.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
157.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.1s

Counts
124 → 124
Iterations
IterNodes
done5000
22436
1624
0277

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
34×times-frac
33×add-sqr-sqrt
32×associate-*r*
24×add-exp-log
23×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube
13×unpow-prod-down
11×div-exp
9×fma-udef
8×prod-exp
7×exp-sum
6×pow1
5×cbrt-undiv sqr-pow
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r* associate-*l*
2×pow-to-exp pow-exp associate-*r/ div-inv
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
4 → 105
Calls
4 calls:
24.0ms
(* x (/ (pow a (- 1.0)) (exp (fma (- (log z)) y (fma (- (log a)) t b)))))
0.0ms
(fma (- (log z)) y (fma (- (log a)) t b))
1.0ms
(fma (- (log a)) t b)
34.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma (- (log z)) y (fma (- (log a)) t b))))) y)

series1.3s

Counts
4 → 12
Calls
4 calls:
525.0ms
(* x (/ (pow a (- 1.0)) (exp (fma (- (log z)) y (fma (- (log a)) t b)))))
126.0ms
(fma (- (log z)) y (fma (- (log a)) t b))
110.0ms
(fma (- (log a)) t b)
495.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma (- (log z)) y (fma (- (log a)) t b))))) y)

simplify1.3s

Counts
117 → 117
Iterations
IterNodes
done5002
23007
1653
0251

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (* x (/ (pow a (- 1.0)) (exp (* (* (cbrt (- b (fma y (log z) (* t (log a))))) (cbrt (- b (fma y (log z) (* t (log a)))))) (cbrt (- b (fma y (log z) (* t (log a))))))))) y)
1.1b
(cbrt (- b (fma y (log z) (* t (log a)))))
1.1b
(cbrt (- b (fma y (log z) (* t (log a)))))
1.1b
(cbrt (- b (fma y (log z) (* t (log a)))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
13×add-cbrt-cube
9×add-cube-cbrt
8×div-exp
6×cbrt-div
4×expm1-log1p-u pow1 cbrt-undiv prod-exp log1p-expm1-u add-log-exp
3×associate-/r* times-frac flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
2×cbrt-unprod
1×pow-to-exp clear-num frac-2neg pow-exp associate-*r/ div-inv associate-/l* associate-/l/
Counts
4 → 79
Calls
4 calls:
52.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (* (* (cbrt (- b (fma y (log z) (* t (log a))))) (cbrt (- b (fma y (log z) (* t (log a)))))) (cbrt (- b (fma y (log z) (* t (log a))))))))) y)
8.0ms
(cbrt (- b (fma y (log z) (* t (log a)))))
7.0ms
(cbrt (- b (fma y (log z) (* t (log a)))))
6.0ms
(cbrt (- b (fma y (log z) (* t (log a)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
655.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (* (* (cbrt (- b (fma y (log z) (* t (log a))))) (cbrt (- b (fma y (log z) (* t (log a)))))) (cbrt (- b (fma y (log z) (* t (log a))))))))) y)
406.0ms
(cbrt (- b (fma y (log z) (* t (log a)))))
353.0ms
(cbrt (- b (fma y (log z) (* t (log a)))))
366.0ms
(cbrt (- b (fma y (log z) (* t (log a)))))

simplify1.0s

Counts
91 → 91
Iterations
IterNodes
done5000
21898
1481
0186

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma t (log a) (* (log z) y))
0.3b
(* (log z) y)
6.2b
(* (/ x y) (/ (pow a (- 1.0)) (exp (- b (fma t (log a) (* (log z) y))))))
6.9b
(cbrt (pow (* (/ x y) (/ (pow a (- 1.0)) (exp (- b (fma t (log a) (* (log z) y)))))) 3))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
117×times-frac
106×associate-*r*
92×*-un-lft-identity add-cube-cbrt
77×exp-sum
63×prod-diff
45×unpow-prod-down
24×add-exp-log
18×add-cbrt-cube
17×associate-*l* sqr-pow
10×div-exp
9×pow1 prod-exp unswap-sqr
8×cbrt-prod
7×sub-neg
5×cbrt-unprod
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
3×cube-div cbrt-div
2×frac-times pow-to-exp pow-prod-down associate-*l/ pow-exp associate-*r/ *-commutative div-inv
1×cube-mult exp-diff pow1/3 unpow3 cube-prod associate-/r/ log-pow rem-cbrt-cube fma-udef
Counts
4 → 203
Calls
4 calls:
0.0ms
(fma t (log a) (* (log z) y))
9.0ms
(* (log z) y)
120.0ms
(* (/ x y) (/ (pow a (- 1.0)) (exp (- b (fma t (log a) (* (log z) y))))))
4.0ms
(cbrt (pow (* (/ x y) (/ (pow a (- 1.0)) (exp (- b (fma t (log a) (* (log z) y)))))) 3))

series1.3s

Counts
4 → 12
Calls
4 calls:
171.0ms
(fma t (log a) (* (log z) y))
103.0ms
(* (log z) y)
529.0ms
(* (/ x y) (/ (pow a (- 1.0)) (exp (- b (fma t (log a) (* (log z) y))))))
465.0ms
(cbrt (pow (* (/ x y) (/ (pow a (- 1.0)) (exp (- b (fma t (log a) (* (log z) y)))))) 3))

simplify669.0ms

Counts
215 → 215
Iterations
IterNodes
done5001
11393
0450

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes914.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done24
124
021

end0.0ms

sample13.9s

Algorithm
intervals
Results
6.9s44344×body80nan
2.3s14990×body80valid