Details

Time bar (total: 9.0s)

sample38.0ms

Algorithm
intervals
Results
18.0ms335×body80valid

simplify80.0ms

Counts
1 → 1

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.2b
(* t (* y (- x z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
34.0ms
(* y (- x z))
30.0ms
(* t (* y (- x z)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* y (- x z))
62.0ms
(* t (* y (- x z)))

simplify569.0ms

Counts
60 → 60

prune137.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

6.4b
(* (* t y) (- x z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
39.0ms
(* (* t y) (- x z))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* (* t y) (- x z))

simplify1.8s

Counts
29 → 29

prune85.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* t y) x) (* (* t y) (- z)))
3.9b
(* (* t y) (- z))
6.0b
(* (* t y) x)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log associate-*r* add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
5×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×associate-*l* *-commutative
1×+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 58
Calls
3 calls:
32.0ms
(+ (* (* t y) x) (* (* t y) (- z)))
32.0ms
(* (* t y) (- z))
33.0ms
(* (* t y) x)

series176.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(+ (* (* t y) x) (* (* t y) (- z)))
44.0ms
(* (* t y) (- z))
41.0ms
(* (* t y) x)

simplify1.1s

Counts
67 → 67

prune215.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (* t y) x)
13.4b
(cbrt (* (* t y) (- z)))
13.4b
(cbrt (* (* t y) (- z)))
13.4b
(cbrt (* (* t y) (- z)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 45
Calls
4 calls:
28.0ms
(* (* t y) x)
19.0ms
(cbrt (* (* t y) (- z)))
23.0ms
(cbrt (* (* t y) (- z)))
27.0ms
(cbrt (* (* t y) (- z)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* t y) x)
151.0ms
(cbrt (* (* t y) (- z)))
154.0ms
(cbrt (* (* t y) (- z)))
171.0ms
(cbrt (* (* t y) (- z)))

simplify1.2s

Counts
57 → 57

prune264.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes286.0ms

Accuracy

-8.8% (7.2b remaining)

Error of 7.3b against oracle of 0.1b and baseline of 6.7b

bsearch203.0ms

Steps
ItersRangePoint
10
6.13479054788606e-13
396137.46865418117
1.046975531496553e-09
9
-6.458564774426403e-269
-1.9893987364316817e-275
-6.330270419009957e-269
9
-9.018358077531749e-222
-2.406822327496346e-231
-2.5266942413063604e-231
9
-2.0621982908466928e-89
-7.420646657171984e-98
-1.1059360982223227e-93

simplify759.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
472.0ms10595×body80valid