Details

Time bar (total: 8.9s)

sample51.0ms

Algorithm
intervals
Results
23.0ms348×body80valid

simplify99.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.9b
(* t (* y (- x z)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
sub-neg associate-*r/ associate-*r* associate-*l*
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
38.0ms
(* y (- x z))
56.0ms
(* t (* y (- x z)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* y (- x z))
49.0ms
(* t (* y (- x z)))

simplify455.0ms

Counts
60 → 60

prune115.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

5.9b
(* t (* y (- x z)))
7.1b
(cbrt (* t (* y (- x z))))
7.1b
(cbrt (* t (* y (- x z))))
7.1b
(cbrt (* t (* y (- x z))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*r/
pow1 add-exp-log add-cbrt-cube
distribute-rgt-in distribute-lft-in
cbrt-div
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
sub-neg flip3-- flip-- add-log-exp
cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*r* *-commutative
Counts
4 → 61
Calls
4 calls:
39.0ms
(* t (* y (- x z)))
37.0ms
(cbrt (* t (* y (- x z))))
26.0ms
(cbrt (* t (* y (- x z))))
24.0ms
(cbrt (* t (* y (- x z))))

series537.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* t (* y (- x z)))
168.0ms
(cbrt (* t (* y (- x z))))
168.0ms
(cbrt (* t (* y (- x z))))
133.0ms
(cbrt (* t (* y (- x z))))

simplify1.3s

Counts
73 → 73

prune276.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

8.9b
(* (* t y) (- x z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
36.0ms
(* (* t y) (- x z))

series51.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* (* t y) (- x z))

simplify1.8s

Counts
29 → 29

prune59.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

7.1b
(cbrt (* (* t y) (- x z)))
8.9b
(* (* t y) (- x z))
8.9b
(* (* t y) (- x z))
8.9b
(* (* t y) (- x z))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
15×associate-*r*
13×add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
associate-*r/
add-cube-cbrt
distribute-rgt-in sub-neg distribute-lft-in
flip3-- flip-- add-log-exp
associate-*l* *-commutative distribute-lft-out-- difference-of-squares
cbrt-div
cbrt-prod pow1/3
Counts
4 → 89
Calls
4 calls:
26.0ms
(cbrt (* (* t y) (- x z)))
42.0ms
(* (* t y) (- x z))
38.0ms
(* (* t y) (- x z))
43.0ms
(* (* t y) (- x z))

series337.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (* (* t y) (- x z)))
61.0ms
(* (* t y) (- x z))
60.0ms
(* (* t y) (- x z))
73.0ms
(* (* t y) (- x z))

simplify522.0ms

Counts
101 → 101

prune298.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes271.0ms

Accuracy

0% (7.1b remaining)

Error of 7.2b against oracle of 0.1b and baseline of 7.2b

bsearch62.0ms

Steps
ItersRangePoint
8
8.4375437966846e-61
2.620320301972574e-57
3.7875514373921516e-60
6
-0.42774492123297775
-0.05032126212300132
-0.40957676128964265

simplify458.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
891.0ms10785×body80valid