Details

Time bar (total: 26.5s)

sample317.0ms

Algorithm
intervals
Results
131.0ms1539×body80nan
73.0ms474×body80valid

simplify1.3s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize38.0ms

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))
1.2b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite376.0ms

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:
36.0ms
(* (- t 1.0) (log a))
14.0ms
(* y (log z))
123.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
198.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series515.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (- t 1.0) (log a))
57.0ms
(* y (log z))
148.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
250.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify880.0ms

Counts
124 → 124
Iterations
IterNodes
done5001
22439
1624
0277

prune988.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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)
1.2b
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) y)

rewrite47.0ms

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:
28.0ms
(* 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)
15.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) y)

series1.0s

Counts
4 → 12
Calls
4 calls:
401.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))))
87.0ms
(fma y (- (log z)) (fma t (- (log a)) b))
67.0ms
(fma t (- (log a)) b)
462.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) y)

simplify1.1s

Counts
117 → 117
Iterations
IterNodes
done5002
23040
1653
0251

prune982.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (log z) y (* t (log a)))
0.2b
(* t (log a))
1.2b
(/ (* x (/ (pow a (- 1.0)) (exp (cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))))) y)
42.1b
(cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-exp-log
17×*-un-lft-identity
16×cbrt-prod
15×add-cbrt-cube
13×add-cube-cbrt
8×div-exp
7×pow1
6×log-prod
5×unpow-prod-down cube-prod 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
2×cube-div cbrt-div distribute-lft-out-- difference-of-squares
1×cube-mult pow-to-exp clear-num frac-2neg flip3-- pow1/3 unpow3 pow-prod-down pow-exp associate-*r/ log-pow *-commutative rem-cbrt-cube fma-udef div-inv flip-- associate-/l* unswap-sqr sqr-pow associate-/l/
Counts
4 → 94
Calls
4 calls:
0.0ms
(fma (log z) y (* t (log a)))
10.0ms
(* t (log a))
115.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))))) y)
7.0ms
(cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))

series888.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(fma (log z) y (* t (log a)))
61.0ms
(* t (log a))
530.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))))) y)
149.0ms
(cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))

simplify1.1s

Counts
106 → 106
Iterations
IterNodes
done5001
22964
1670
0253

prune836.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (log z) y (* t (log a)))
0.2b
(* t (log a))
1.2b
(* (* x (/ (pow a (- 1.0)) (exp (cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))))) (/ 1 y))
42.1b
(cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))

rewrite797.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
37×prod-exp
27×add-cbrt-cube
24×add-sqr-sqrt
22×*-un-lft-identity div-exp
18×add-cube-cbrt
17×associate-*r*
16×cbrt-prod
12×pow1
11×cbrt-unprod
9×times-frac
6×log-prod
5×cbrt-undiv rec-exp unpow-prod-down 1-exp cube-prod
4×expm1-log1p-u pow-to-exp associate-*l* pow-prod-down pow-exp log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in associate-*r/
2×cube-div cbrt-div *-commutative distribute-lft-out-- difference-of-squares
1×cube-mult frac-times flip3-- pow1/3 unpow3 associate-*l/ log-pow un-div-inv rem-cbrt-cube fma-udef div-inv flip-- unswap-sqr sqr-pow
Counts
4 → 122
Calls
4 calls:
0.0ms
(fma (log z) y (* t (log a)))
12.0ms
(* t (log a))
764.0ms
(* (* x (/ (pow a (- 1.0)) (exp (cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))))) (/ 1 y))
12.0ms
(cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))

series857.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(fma (log z) y (* t (log a)))
55.0ms
(* t (log a))
510.0ms
(* (* x (/ (pow a (- 1.0)) (exp (cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))))) (/ 1 y))
131.0ms
(cbrt (pow (- b (fma (log z) y (* t (log a)))) 3))

simplify379.0ms

Counts
134 → 134
Iterations
IterNodes
done5001
1844
0295

prune924.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.0s

Accuracy

94.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.3b

bsearch18.0ms

Steps
ItersRangePoint
1
3.8077369815895635e-06
4.2018319579804524e-06
4.101568142873871e-06

simplify4.0ms

Iterations
IterNodes
done35
135
031

end0.0ms

sample11.7s

Algorithm
intervals
Results
6.7s45944×body80nan
2.0s15326×body80valid