Details

Time bar (total: 5.9m)

sample431.0ms

Algorithm
intervals
Results
162.0ms1463×body80nan
79.0ms475×body80valid

simplify1.4s

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite352.0ms

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:
35.0ms
(* (- t 1.0) (log a))
13.0ms
(* y (log z))
96.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
202.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series591.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (- t 1.0) (log a))
50.0ms
(* y (log z))
183.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
268.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.3s

Counts
124 → 124
Iterations
IterNodes
done5001
22439
1624
0277

prune997.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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:
41.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))))
0.0ms
(fma y (- (log z)) (fma t (- (log a)) b))
0.0ms
(fma t (- (log a)) b)
20.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) y)

series1.2s

Counts
4 → 12
Calls
4 calls:
485.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))))
93.0ms
(fma y (- (log z)) (fma t (- (log a)) b))
83.0ms
(fma t (- (log a)) b)
525.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) y)

simplify1.3s

Counts
117 → 117
Iterations
IterNodes
done5002
23040
1653
0251

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (log z) y (* t (log a)))
0.3b
(* t (log a))
0.5b
(log1p (expm1 (- b (fma (log z) y (* t (log a))))))
1.5b
(/ (* x (/ (pow a (- 1.0)) (exp (log1p (expm1 (- b (fma (log z) y (* t (log a))))))))) y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
15×add-cbrt-cube
12×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
8×div-exp
7×pow1
6×log-prod
5×prod-exp
4×expm1-log1p-u cbrt-undiv associate-*r* log1p-expm1-u add-log-exp
3×distribute-rgt-in associate-/r* distribute-lft-in times-frac associate-*l* cbrt-unprod
1×pow-to-exp log1p-udef clear-num frac-2neg pow-prod-down pow-exp log1p-expm1 associate-*r/ log-pow *-commutative fma-udef div-inv associate-/l* unswap-sqr associate-/l/
Counts
4 → 76
Calls
4 calls:
1.0ms
(fma (log z) y (* t (log a)))
11.0ms
(* t (log a))
0.0ms
(log1p (expm1 (- b (fma (log z) y (* t (log a))))))
24.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (log1p (expm1 (- b (fma (log z) y (* t (log a))))))))) y)

series976.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(fma (log z) y (* t (log a)))
69.0ms
(* t (log a))
162.0ms
(log1p (expm1 (- b (fma (log z) y (* t (log a))))))
592.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (log1p (expm1 (- b (fma (log z) y (* t (log a))))))))) y)

simplify1.1s

Counts
88 → 88
Iterations
IterNodes
done5002
21917
1477
0195

prune725.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (/ (/ (/ (exp b) (pow z y)) (pow a t)) (pow a (- 1.0))))
0.0b
(/ (/ (/ (exp b) (pow z y)) (pow a t)) (pow a (- 1.0)))
0.4b
(/ (/ (exp b) (pow z y)) (pow a t))
1.5b
(/ (/ x (/ (/ (/ (exp b) (pow z y)) (pow a t)) (pow a (- 1.0)))) y)

rewrite7.1s

Algorithm
rewrite-expression-head
Rules
90515×times-frac
34235×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
25842×unpow-prod-down
8614×sqr-pow
3989×associate-/l*
1276×associate-/r*
992×div-inv
448×div-exp
385×add-exp-log
109×pow-to-exp pow-exp
52×add-cbrt-cube
39×associate-/r/
34×cbrt-undiv
17×neg-sub0 pow-neg pow-sub
4×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
3×associate-/l/
Counts
4 → 22016
Calls
4 calls:
343.0ms
(/ x (/ (/ (/ (exp b) (pow z y)) (pow a t)) (pow a (- 1.0))))
101.0ms
(/ (/ (/ (exp b) (pow z y)) (pow a t)) (pow a (- 1.0)))
24.0ms
(/ (/ (exp b) (pow z y)) (pow a t))
1.6s
(/ (/ x (/ (/ (/ (exp b) (pow z y)) (pow a t)) (pow a (- 1.0)))) y)

series1.8s

Counts
4 → 12
Calls
4 calls:
461.0ms
(/ x (/ (/ (/ (exp b) (pow z y)) (pow a t)) (pow a (- 1.0))))
500.0ms
(/ (/ (/ (exp b) (pow z y)) (pow a t)) (pow a (- 1.0)))
223.0ms
(/ (/ (exp b) (pow z y)) (pow a t))
578.0ms
(/ (/ x (/ (/ (/ (exp b) (pow z y)) (pow a t)) (pow a (- 1.0)))) y)

simplify13.7s

Counts
22028 → 22028
Iterations
IterNodes
done30688
030688

prune5.0m

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes793.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done22
122
020

end0.0ms

sample15.0s

Algorithm
intervals
Results
7.9s45442×body80nan
2.1s15344×body80valid