Details

Time bar (total: 10.5s)

sample31.0ms

Algorithm
intervals
Results
12.0ms272×body80valid

simplify827.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.8b
(/ x (* (- y z) (- t z)))

rewrite81.0ms

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:
50.0ms
(* (- y z) (- t z))
27.0ms
(/ x (* (- y z) (- t z)))

series208.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (- y z) (- t z))
166.0ms
(/ x (* (- y z) (- t z)))

simplify572.0ms

Counts
69 → 69

prune246.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite106.0ms

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)
98.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt x)
264.0ms
(cbrt x)
266.0ms
(cbrt x)
211.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify821.0ms

Counts
122 → 122

prune387.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.8b
(/ (/ x (- y z)) (- t z))

rewrite62.0ms

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))
31.0ms
(/ (/ x (- y z)) (- t z))

series209.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ x (- y z))
167.0ms
(/ (/ x (- y z)) (- t z))

simplify751.0ms

Counts
191 → 191

prune642.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(* (* (/ (* (cbrt x) (cbrt x)) (- y z)) (cbrt x)) (/ 1 (- t z)))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
32×prod-exp
26×add-cbrt-cube
22×add-sqr-sqrt *-un-lft-identity
21×associate-*r*
16×add-cube-cbrt div-exp cbrt-unprod
15×times-frac
9×pow1 cbrt-prod
8×cbrt-undiv
4×rec-exp 1-exp add-log-exp
3×pow1/3 pow-prod-down associate-*l/ distribute-lft-out-- difference-of-squares
2×associate-/r/
1×frac-times flip3-- associate-*r/ associate-*l* un-div-inv *-commutative flip-- div-inv
Counts
4 → 93
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
195.0ms
(* (* (/ (* (cbrt x) (cbrt x)) (- y z)) (cbrt x)) (/ 1 (- t z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt x)
299.0ms
(cbrt x)
302.0ms
(cbrt x)
232.0ms
(* (* (/ (* (cbrt x) (cbrt x)) (- y z)) (cbrt x)) (/ 1 (- t z)))

simplify995.0ms

Counts
105 → 105

prune360.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes233.0ms

Accuracy

-9.3% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch2.0ms

simplify749.0ms

end0.0ms

sample780.0ms

Algorithm
intervals
Results
321.0ms8463×body80valid