Details

Time bar (total: 15.0s)

sample27.0ms

Algorithm
intervals
Results
11.0ms315×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
5943
4264
392
234
114
08

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize12.0ms

Local error

Found 1 expressions with local error:

3.9b
(* x (fma z (- y 1.0) 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×fma-udef
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
11.0ms
(* x (fma z (- y 1.0) 1.0))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(* x (fma z (- y 1.0) 1.0))

simplify1.3s

Counts
25 → 25
Iterations
IterNodes
done5000
31857
2370
1111
048

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x z) (- y 1.0)) (* 1.0 x))
2.4b
(* (* x z) (- y 1.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
29×add-sqr-sqrt *-un-lft-identity
27×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
7×pow1 add-cbrt-cube add-exp-log
5×associate-*r*
4×sub-neg add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*r/ log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ flip3-- associate-*l* *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 82
Calls
2 calls:
34.0ms
(+ (* (* x z) (- y 1.0)) (* 1.0 x))
26.0ms
(* (* x z) (- y 1.0))

series179.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(+ (* (* x z) (- y 1.0)) (* 1.0 x))
82.0ms
(* (* x z) (- y 1.0))

simplify2.9s

Counts
88 → 88
Iterations
IterNodes
done5000
22703
1447
0147

prune436.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (* x z) (- y 1.0))
5.5b
(cbrt (* (* x z) (- y 1.0)))
5.5b
(cbrt (* (* x z) (- y 1.0)))
5.5b
(cbrt (* (* x z) (- y 1.0)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-cbrt-cube add-exp-log
8×associate-*r/
6×cbrt-div
5×associate-*r*
4×expm1-log1p-u flip3-- log1p-expm1-u flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×sub-neg
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 85
Calls
4 calls:
30.0ms
(* (* x z) (- y 1.0))
20.0ms
(cbrt (* (* x z) (- y 1.0)))
14.0ms
(cbrt (* (* x z) (- y 1.0)))
25.0ms
(cbrt (* (* x z) (- y 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (* x z) (- y 1.0))
310.0ms
(cbrt (* (* x z) (- y 1.0)))
410.0ms
(cbrt (* (* x z) (- y 1.0)))
364.0ms
(cbrt (* (* x z) (- y 1.0)))

simplify2.4s

Counts
97 → 97
Iterations
IterNodes
done5000
22707
1523
0189

prune625.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* z (* x y)) (* (* x 1.0) (- z)))
0.0b
(+ (+ (* z (* x y)) (* (* x 1.0) (- z))) (* 1.0 x))
6.0b
(* z (* x y))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×sum-log fma-def distribute-rgt-neg-out
3×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×+-commutative flip3-+ unsub-neg associate-+l- flip-+
1×associate-+l+ associate-*r* *-commutative
Counts
3 → 56
Calls
3 calls:
15.0ms
(+ (* z (* x y)) (* (* x 1.0) (- z)))
94.0ms
(+ (+ (* z (* x y)) (* (* x 1.0) (- z))) (* 1.0 x))
15.0ms
(* z (* x y))

series266.0ms

Counts
3 → 9
Calls
3 calls:
135.0ms
(+ (* z (* x y)) (* (* x 1.0) (- z)))
98.0ms
(+ (+ (* z (* x y)) (* (* x 1.0) (- z))) (* 1.0 x))
32.0ms
(* z (* x y))

simplify1.7s

Counts
65 → 65
Iterations
IterNodes
done5000
21698
1297
0100

prune407.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes245.0ms

Accuracy

92.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.1b

bsearch126.0ms

Steps
ItersRangePoint
9
2.6970744609164994e-43
2.1859929431745958e-36
3.7697914375366247e-38
4
-2.938974150056595e-53
-1.91263931021339e-53
-2.600969880228343e-53

simplify19.0ms

Iterations
IterNodes
done55
455
353
241
132
021

end0.0ms

sample972.0ms

Algorithm
intervals
Results
492.0ms10112×body80valid