Details

Time bar (total: 15.0s)

sample41.0ms

Algorithm
intervals
Results
16.0ms271×body80valid

simplify874.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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:
46.0ms
(* (- y z) (- t z))
20.0ms
(/ x (* (- y z) (- t z)))

series215.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* (- y z) (- t z))
176.0ms
(/ x (* (- y z) (- t z)))

simplify612.0ms

Counts
69 → 69

prune197.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.6b
(/ (/ x (- y z)) (- t z))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
12.0ms
(/ x (- y z))
55.0ms
(/ (/ x (- y z)) (- t z))

series248.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ x (- y z))
199.0ms
(/ (/ x (- y z)) (- t z))

simplify945.0ms

Counts
191 → 191

prune664.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:
21.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
316.0ms
(* (cbrt x) (cbrt x))
324.0ms
(cbrt x)
238.0ms
(cbrt x)
288.0ms
(cbrt x)

simplify787.0ms

Counts
85 → 85

prune505.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.4b
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
1.5b
(/ (- t z) (/ x (- y z)))

rewrite381.0ms

Algorithm
rewrite-expression-head
Rules
5159×times-frac
2900×add-sqr-sqrt *-un-lft-identity
1804×add-cube-cbrt
548×distribute-lft-out-- difference-of-squares
204×div-inv
170×associate-/r/
136×associate-/r*
78×flip3-- flip--
70×add-exp-log
58×div-exp
31×add-cbrt-cube
21×associate-/l*
19×cbrt-undiv
15×1-exp
6×rec-exp
3×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
3 → 1778
Calls
3 calls:
20.0ms
(/ x (- y z))
93.0ms
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
34.0ms
(/ (- t z) (/ x (- y z)))

series452.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (- y z))
342.0ms
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
68.0ms
(/ (- t z) (/ x (- y z)))

simplify1.6s

Counts
1787 → 1787

prune3.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

-517.3% (8.1b remaining)

Error of 8.1b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.2s

end0.0ms

sample855.0ms

Algorithm
intervals
Results
398.0ms8435×body80valid