Details

Time bar (total: 8.6s)

sample44.0ms

Algorithm
intervals
Results
20.0ms327×body80valid

simplify93.0ms

Counts
1 → 1

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
8.8b
(* t (* y (- x z)))

rewrite403.0ms

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:
353.0ms
(* y (- x z))
47.0ms
(* t (* y (- x z)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* y (- x z))
70.0ms
(* t (* y (- x z)))

simplify568.0ms

Counts
60 → 60

prune148.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

5.5b
(* (* t y) (- x z))

rewrite43.0ms

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:
42.0ms
(* (* t y) (- x z))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(* (* t y) (- x z))

simplify1.8s

Counts
29 → 29

prune87.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

5.5b
(* (* t y) (- x z))
6.7b
(cbrt (* (* t y) (- x z)))
6.7b
(cbrt (* (* t y) (- x z)))
6.7b
(cbrt (* (* t y) (- x z)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity
6×cbrt-div
5×add-cube-cbrt associate-*r*
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 59
Calls
4 calls:
29.0ms
(* (* t y) (- x z))
23.0ms
(cbrt (* (* t y) (- x z)))
26.0ms
(cbrt (* (* t y) (- x z)))
26.0ms
(cbrt (* (* t y) (- x z)))

series524.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (* t y) (- x z))
144.0ms
(cbrt (* (* t y) (- x z)))
180.0ms
(cbrt (* (* t y) (- x z)))
143.0ms
(cbrt (* (* t y) (- x z)))

simplify578.0ms

Counts
71 → 71

prune301.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.5b
(* (* t y) (- x z))
6.7b
(cbrt (* (* t y) (- x z)))
6.7b
(cbrt (* (* t y) (- x z)))
10.2b
(cbrt (* t y))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
6×associate-*r/
5×add-cube-cbrt associate-*r*
4×cbrt-div add-log-exp
3×cbrt-prod flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
45.0ms
(* (* t y) (- x z))
25.0ms
(cbrt (* (* t y) (- x z)))
32.0ms
(cbrt (* (* t y) (- x z)))
5.0ms
(cbrt (* t y))

series527.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* t y) (- x z))
188.0ms
(cbrt (* (* t y) (- x z)))
169.0ms
(cbrt (* (* t y) (- x z)))
106.0ms
(cbrt (* t y))

simplify577.0ms

Counts
69 → 69

prune334.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes275.0ms

Accuracy

-3.7% (7.0b remaining)

Error of 7.0b against oracle of 0.1b and baseline of 6.8b

bsearch106.0ms

Steps
ItersRangePoint
8
4.965657117225206e-29
4.661869101640599e-26
2.1087438558749025e-26
9
-6.169144072179117e+17
-248837311.7084542
-368485883737218.6

simplify527.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
515.0ms10732×body80valid