Details

Time bar (total: 8.5s)

sample24.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify27.0ms

Counts
1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* d1 d2) (* d1 d3))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
9.0ms
(+ (* d1 d2) (* d1 d3))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(+ (* d1 d2) (* d1 d3))

simplify2.2s

Counts
15 → 15

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 d3))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
28.0ms
(* d1 (+ d2 d3))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* d1 (+ d2 d3))

simplify740.0ms

Counts
26 → 26

prune55.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ d2 d3)) (cbrt (+ d2 d3)))
0.5b
(cbrt (+ d2 d3))
0.5b
(cbrt (+ d2 d3))
0.5b
(cbrt (+ d2 d3))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
57.0ms
(* (cbrt (+ d2 d3)) (cbrt (+ d2 d3)))
8.0ms
(cbrt (+ d2 d3))
8.0ms
(cbrt (+ d2 d3))
8.0ms
(cbrt (+ d2 d3))

series763.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* (cbrt (+ d2 d3)) (cbrt (+ d2 d3)))
168.0ms
(cbrt (+ d2 d3))
210.0ms
(cbrt (+ d2 d3))
166.0ms
(cbrt (+ d2 d3))

simplify1.5s

Counts
107 → 107

prune352.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (* d2 d2) (* d3 d3))
10.1b
(/ (* (cbrt (- (* d2 d2) (* d3 d3))) (cbrt (- (* d2 d2) (* d3 d3)))) (* (cbrt (- d2 d3)) (cbrt (- d2 d3))))
22.9b
(cbrt (- (* d2 d2) (* d3 d3)))
22.9b
(cbrt (- (* d2 d2) (* d3 d3)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
15×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
12.0ms
(- (* d2 d2) (* d3 d3))
79.0ms
(/ (* (cbrt (- (* d2 d2) (* d3 d3))) (cbrt (- (* d2 d2) (* d3 d3)))) (* (cbrt (- d2 d3)) (cbrt (- d2 d3))))
7.0ms
(cbrt (- (* d2 d2) (* d3 d3)))
7.0ms
(cbrt (- (* d2 d2) (* d3 d3)))

series543.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* d2 d2) (* d3 d3))
198.0ms
(/ (* (cbrt (- (* d2 d2) (* d3 d3))) (cbrt (- (* d2 d2) (* d3 d3)))) (* (cbrt (- d2 d3)) (cbrt (- d2 d3))))
154.0ms
(cbrt (- (* d2 d2) (* d3 d3)))
145.0ms
(cbrt (- (* d2 d2) (* d3 d3)))

simplify594.0ms

Counts
90 → 90

prune435.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes92.0ms

Accuracy

8.2% (0.0b remaining)

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

bsearch0.0ms

simplify19.0ms

end0.0ms

sample733.0ms

Algorithm
intervals
Results
313.0ms10078×body80valid