Details

Time bar (total: 14.4s)

sample44.0ms

Algorithm
intervals
Results
19.0ms341×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
91398
8493
7248
6209
5161
4109
363
233
115
08

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize19.0ms

Local error

Found 1 expressions with local error:

6.9b
(* (/ x y) (- z t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
6×add-cbrt-cube add-exp-log
5×associate-*r*
3×pow1
2×frac-times sub-neg flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 62
Calls
1 calls:
26.0ms
(* (/ x y) (- z t))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(* (/ x y) (- z t))

simplify1.2s

Counts
65 → 65
Iterations
IterNodes
done5000
22160
1412
0149

prune291.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

6.9b
(* (- z t) (/ x y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×associate-*l*
3×pow1
2×frac-times flip3-- associate-*l/ prod-exp cbrt-unprod flip-- unswap-sqr
1×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 40
Calls
1 calls:
41.0ms
(* (- z t) (/ x y))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* (- z t) (/ x y))

simplify746.0ms

Counts
43 → 43
Iterations
IterNodes
done5002
21286
1254
098

prune215.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
1.7b
(* (/ x y) (cbrt (- z t)))
2.4b
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
3.2b
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))

rewrite381.0ms

Algorithm
rewrite-expression-head
Rules
138×cbrt-div
100×frac-times
69×flip3-- flip--
50×associate-*l/
36×add-sqr-sqrt associate-*r/
32×add-exp-log
26×*-un-lft-identity
24×associate-*r*
22×cbrt-prod
20×pow1
18×add-cube-cbrt
16×add-cbrt-cube prod-exp cbrt-unprod
15×associate-*l*
11×times-frac
10×pow-prod-down
4×expm1-log1p-u log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
3×cbrt-undiv div-exp *-commutative
1×pow1/3 div-inv
Counts
4 → 189
Calls
4 calls:
6.0ms
(cbrt (- z t))
42.0ms
(* (/ x y) (cbrt (- z t)))
244.0ms
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
70.0ms
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))

series564.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt (- z t))
143.0ms
(* (/ x y) (cbrt (- z t)))
73.0ms
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
149.0ms
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))

simplify1.7s

Counts
201 → 201
Iterations
IterNodes
done5001
24383
1886
0329

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x z) y) (/ t (/ y x)))
5.8b
(/ t (/ y x))
6.0b
(/ (* x z) y)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
678×times-frac
391×add-sqr-sqrt
384×*-un-lft-identity
382×add-cube-cbrt
308×prod-diff
79×div-inv
16×associate-/r*
13×add-cbrt-cube add-exp-log
8×associate-/r/
7×fma-neg
5×cbrt-undiv div-exp add-log-exp
4×associate-/l*
3×expm1-log1p-u pow1 log1p-expm1-u difference-of-squares
2×clear-num frac-2neg
1×sub-neg flip3-- diff-log prod-exp frac-sub cbrt-unprod flip-- distribute-lft-out--
Counts
3 → 429
Calls
3 calls:
59.0ms
(- (/ (* x z) y) (/ t (/ y x)))
9.0ms
(/ t (/ y x))
7.0ms
(/ (* x z) y)

series119.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- (/ (* x z) y) (/ t (/ y x)))
27.0ms
(/ t (/ y x))
25.0ms
(/ (* x z) y)

simplify667.0ms

Counts
438 → 438
Iterations
IterNodes
done5000
11813
0700

prune2.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes398.0ms

Accuracy

12% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample1.2s

Algorithm
intervals
Results
772.0ms10751×body80valid