Details

Time bar (total: 12.2s)

sample30.0ms

Algorithm
intervals
Results
12.0ms276×body80valid

simplify1.3s

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
9.9b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
84.0ms
(/ (+ (- t z) 1.0) a)
98.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series209.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (+ (- t z) 1.0) a)
168.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify927.0ms

Counts
181 → 181

prune498.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
1.1b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
56.0ms
(/ (- y z) (+ (- t z) 1.0))
126.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series260.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ (- y z) (+ (- t z) 1.0))
169.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify594.0ms

Counts
108 → 108

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
0.8b
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

rewrite430.0ms

Algorithm
rewrite-expression-head
Rules
525×times-frac
460×*-un-lft-identity
346×add-sqr-sqrt
287×cbrt-prod
265×associate-*r*
206×add-cube-cbrt
82×distribute-lft-out--
73×add-exp-log
60×distribute-lft-out
52×difference-of-squares
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
13×associate-*l*
12×cbrt-div unswap-sqr
9×associate-/r/
7×div-inv
6×pow1 flip3-+ flip-+
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 365
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
395.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

series969.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt a)
251.0ms
(cbrt a)
262.0ms
(cbrt a)
206.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

simplify851.0ms

Counts
377 → 377

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
9.3b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
31×times-frac
29×add-sqr-sqrt
22×add-cube-cbrt
21×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×associate-*l* associate-/r*
4×pow1 associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ div-exp associate-*l/ prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative difference-of-squares
Counts
2 → 83
Calls
2 calls:
53.0ms
(/ a (+ (- t z) 1.0))
118.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ a (+ (- t z) 1.0))
98.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify621.0ms

Counts
89 → 89

prune255.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0s

end0.0ms

sample1.2s

Algorithm
intervals
Results
555.0ms8460×body80valid