Details

Time bar (total: 18.4s)

sample49.0ms

Algorithm
intervals
Results
20.0ms275×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
01011
11711
23211
36010
411510
519010
628610
742310
877210
9150710
10445910
done500010

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
1.9b
(fma (/ y (- a t)) (- z t) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
12.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series401.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ y (- a t))
349.0ms
(fma (/ y (- a t)) (- z t) x)

simplify1.0s

Counts
55 → 55
Iterations

Useful iterations: 3 (416.0ms)

IterNodesCost
092550
1173533
2440493
31606491
done5000491

prune221.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.3b
(* y (/ 1 (- a t)))
1.9b
(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
13.0ms
(/ 1 (- a t))
52.0ms
(* y (/ 1 (- a t)))
1.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

series501.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ 1 (- a t))
66.0ms
(* y (/ 1 (- a t)))
379.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

simplify777.0ms

Counts
108 → 108
Iterations

Useful iterations: done (774.0ms)

IterNodesCost
01321055
1306914
21110755
done5000751

prune318.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 101
Calls
3 calls:
41.0ms
(+ (* (- z t) (/ y (- a t))) x)
22.0ms
(/ y (- a t))
102.0ms
(* (- z t) (/ y (- a t)))

series306.0ms

Counts
3 → 9
Calls
3 calls:
157.0ms
(+ (* (- z t) (/ y (- a t))) x)
39.0ms
(/ y (- a t))
110.0ms
(* (- z t) (/ y (- a t)))

simplify1.7s

Counts
110 → 110
Iterations

Useful iterations: 2 (336.0ms)

IterNodesCost
01601269
14041192
219891110
done50001110

prune537.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
5.6b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (- z t))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
23×*-un-lft-identity
22×add-exp-log
21×add-cube-cbrt
18×prod-diff
14×add-cbrt-cube
13×associate-*l*
12×cbrt-div
11×distribute-rgt-in distribute-lft-in
9×cbrt-prod prod-exp cbrt-unprod
8×flip3-- associate-/r/ flip--
6×pow1 frac-times
5×associate-*r*
4×cbrt-undiv expm1-log1p-u associate-*r/ div-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*l/
2×sub-neg times-frac unswap-sqr
1×pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 107
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
167.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (- z t))

series1.2s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt y)
319.0ms
(cbrt y)
310.0ms
(cbrt y)
271.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (- z t))

simplify2.3s

Counts
119 → 119
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02382627
16782382
236981917
done50001843

prune540.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes302.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01629
11929
done1929

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.0s8753×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid