Details

Time bar (total: 12.0s)

sample24.0ms

Algorithm
intervals
Results
9.0ms267×body80valid

simplify58.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.7b
(/ x (* (- y z) (- t z)))

rewrite88.0ms

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:
60.0ms
(* (- y z) (- t z))
25.0ms
(/ x (* (- y z) (- t z)))

series186.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- y z) (- t z))
150.0ms
(/ x (* (- y z) (- t z)))

simplify33.0ms

Counts
69 → 69

prune166.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
106.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
346.0ms
(cbrt x)
287.0ms
(cbrt x)
269.0ms
(cbrt x)
191.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify75.0ms

Counts
122 → 122

prune481.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.1b
(/ (/ x (- y z)) (- t z))

rewrite80.0ms

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:
17.0ms
(/ x (- y z))
45.0ms
(/ (/ x (- y z)) (- t z))

series214.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (- y z))
180.0ms
(/ (/ x (- y z)) (- t z))

simplify60.0ms

Counts
191 → 191

prune560.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
3.0b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite120.0ms

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:
11.0ms
(/ x (- t z))
12.0ms
(/ 1 (- y z))
87.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series345.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ x (- t z))
47.0ms
(/ 1 (- y z))
257.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify55.0ms

Counts
159 → 159

prune368.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes270.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify6.4s

end0.0ms

sample1.1s

Algorithm
intervals
Results
643.0ms8435×body80valid