Details

Time bar (total: 7.6s)

sample31.0ms

Algorithm
intervals
Results
13.0ms328×body80valid

simplify70.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.9b
(* t (* y (- x z)))

rewrite63.0ms

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:
30.0ms
(* y (- x z))
31.0ms
(* t (* y (- x z)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* y (- x z))
47.0ms
(* t (* y (- x z)))

simplify404.0ms

Counts
60 → 60

prune130.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

5.2b
(* (* 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))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* (* t y) (- x z))

simplify1.5s

Counts
29 → 29

prune79.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (* t y) (- x z))
5.8b
(cbrt (* (* t y) (- x z)))
5.8b
(cbrt (* (* t y) (- x z)))
5.8b
(cbrt (* (* t y) (- x z)))

rewrite115.0ms

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:
36.0ms
(* (* t y) (- x z))
24.0ms
(cbrt (* (* t y) (- x z)))
26.0ms
(cbrt (* (* t y) (- x z)))
26.0ms
(cbrt (* (* t y) (- x z)))

series619.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (* t y) (- x z))
179.0ms
(cbrt (* (* t y) (- x z)))
180.0ms
(cbrt (* (* t y) (- x z)))
192.0ms
(cbrt (* (* t y) (- x z)))

simplify513.0ms

Counts
71 → 71

prune312.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (* t y) (- x z))
5.8b
(cbrt (* (* t y) (- x z)))
5.8b
(cbrt (* (* t y) (- x z)))
9.1b
(cbrt (* t y))

rewrite109.0ms

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:
49.0ms
(* (* t y) (- x z))
28.0ms
(cbrt (* (* t y) (- x z)))
26.0ms
(cbrt (* (* t y) (- x z)))
4.0ms
(cbrt (* t y))

series455.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (* t y) (- x z))
145.0ms
(cbrt (* (* t y) (- x z)))
180.0ms
(cbrt (* (* t y) (- x z)))
79.0ms
(cbrt (* t y))

simplify527.0ms

Counts
69 → 69

prune287.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

0% (6.3b remaining)

Error of 6.4b against oracle of 0.0b and baseline of 6.4b

bsearch85.0ms

Steps
ItersRangePoint
9
3.0448476937474046e+84
5.9388719077792615e+91
3.827097534379675e+84
5
-4.5988318771835106e-17
-1.3396872786520547e-17
-3.4758948727223214e-17

simplify406.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
888.0ms10641×body80valid