Details

Time bar (total: 6.3s)

sample27.0ms

Algorithm
intervals
Results
10.0ms267×body80valid

simplify60.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.2b
(/ x (* (- y z) (- t z)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
54.0ms
(* (- y z) (- t z))
20.0ms
(/ x (* (- y z) (- t z)))

series198.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* (- y z) (- t z))
151.0ms
(/ x (* (- y z) (- t z)))

simplify47.0ms

Counts
69 → 69

prune209.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(* (cbrt x) (cbrt x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(* (cbrt x) (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt x)
267.0ms
(cbrt x)
263.0ms
(cbrt x)
262.0ms
(* (cbrt x) (cbrt x))

simplify38.0ms

Counts
85 → 85

prune269.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×cbrt-prod
12×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 67
Calls
4 calls:
13.0ms
(* (cbrt x) (cbrt x))
7.0ms
(cbrt (* (cbrt x) (cbrt x)))
8.0ms
(cbrt (* (cbrt x) (cbrt x)))
7.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.4s

Counts
4 → 12
Calls
4 calls:
306.0ms
(* (cbrt x) (cbrt x))
404.0ms
(cbrt (* (cbrt x) (cbrt x)))
345.0ms
(cbrt (* (cbrt x) (cbrt x)))
379.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify110.0ms

Counts
79 → 79

prune289.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.1b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
21.0ms
(/ x (- t z))
21.0ms
(/ 1 (- y z))
80.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series373.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ x (- t z))
51.0ms
(/ 1 (- y z))
282.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify55.0ms

Counts
159 → 159

prune433.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify133.0ms

end0.0ms

sample982.0ms

Algorithm
intervals
Results
423.0ms8466×body80valid