Details

Time bar (total: 21.0s)

sample45.0ms

Algorithm
intervals
Results
18.0ms321×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
089
1149
2278
3628
41158
51758
62408
74378
812288
945348
done50008

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.4b
(* (- y x) (/ z t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
17.0ms
(+ x (* (- y x) (/ z t)))
45.0ms
(* (- y x) (/ z t))

series141.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ x (* (- y x) (/ z t)))
81.0ms
(* (- y x) (/ z t))

simplify1.2s

Counts
62 → 62
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0119705
1318665
21555603
done5001576

prune302.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.8b
(* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (- y x))

rewrite116.0ms

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
11×distribute-rgt-in distribute-lft-in
9×cbrt-prod prod-exp cbrt-unprod
6×pow1
5×associate-*r* associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3
2×frac-times sub-neg flip3-- times-frac associate-*r/ flip-- unswap-sqr
1×pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 99
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
103.0ms
(* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (- y x))

series1.4s

Counts
4 → 12
Calls
4 calls:
336.0ms
(cbrt z)
306.0ms
(cbrt z)
302.0ms
(cbrt z)
468.0ms
(* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (- y x))

simplify2.3s

Counts
111 → 111
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02032055
15911825
232911410
done50001337

prune528.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(sqrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1 sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×rem-sqrt-square times-frac
1×sqrt-pow1 pow1/2 sqrt-div div-inv
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
22.0ms
(sqrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series1.1s

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt z)
372.0ms
(cbrt z)
314.0ms
(cbrt z)
104.0ms
(sqrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify2.5s

Counts
70 → 70
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
071521
1125468
2288408
3903344
44163335
done5000335

prune382.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.8b
(* (/ (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* (cbrt t) (cbrt t))) (- y x))

rewrite507.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
25×add-sqr-sqrt prod-exp cbrt-unprod
24×add-cbrt-cube
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×cbrt-prod
8×cbrt-undiv div-exp
6×pow1
5×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×frac-times sub-neg flip3-- associate-*r/ flip--
1×times-frac pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 106
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
492.0ms
(* (/ (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* (cbrt t) (cbrt t))) (- y x))

series1.3s

Counts
4 → 12
Calls
4 calls:
319.0ms
(cbrt z)
305.0ms
(cbrt z)
284.0ms
(cbrt z)
407.0ms
(* (/ (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* (cbrt t) (cbrt t))) (- y x))

simplify2.7s

Counts
118 → 118
Iterations

Useful iterations: 2 (711.0ms)

IterNodesCost
02353174
17212924
242431959
done50001959

prune629.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes349.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01731
12131
done2131

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s10694×body80valid