Details

Time bar (total: 34.9s)

sample35.0ms

Algorithm
intervals
Results
11.0ms275×body80valid

simplify5.8s

Counts
1 → 1
Iterations
IterNodes
done5000
92492
81293
7674
6329
5179
4106
363
235
117
010

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
3.9b
(fma (- y z) (/ t (- a z)) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 49
Calls
2 calls:
14.0ms
(/ t (- a z))
1.0ms
(fma (- y z) (/ t (- a z)) x)

series136.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ t (- a z))
98.0ms
(fma (- y z) (/ t (- a z)) x)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5000
31511
2446
1176
092

prune392.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
10.0b
(* (- y z) (/ t (- a z)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*l*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×expm1-log1p-u frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 87
Calls
2 calls:
14.0ms
(/ t (- a z))
55.0ms
(* (- y z) (/ t (- a z)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ t (- a z))
101.0ms
(* (- y z) (/ t (- a z)))

simplify1.3s

Counts
93 → 93
Iterations
IterNodes
done5000
21705
1325
0134

prune421.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
4.7b
(* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ t (cbrt (- a z))))

rewrite378.0ms

Algorithm
rewrite-expression-head
Rules
756×times-frac
665×add-sqr-sqrt
579×*-un-lft-identity
482×cbrt-prod
374×associate-*l*
267×add-cube-cbrt
156×distribute-lft-out-- difference-of-squares
30×associate-*r*
26×cbrt-div
25×add-exp-log
21×unswap-sqr
20×associate-/r/
16×add-cbrt-cube
13×flip3-- flip--
10×div-inv
9×cbrt-undiv div-exp
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 502
Calls
4 calls:
6.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
318.0ms
(* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ t (cbrt (- a z))))

series702.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt (- a z))
170.0ms
(cbrt (- a z))
165.0ms
(cbrt (- a z))
166.0ms
(* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ t (cbrt (- a z))))

simplify1.7s

Counts
514 → 514
Iterations
IterNodes
done5001
11589
0484

prune3.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- a z)) (cbrt (- a z)))
0.6b
(* (cbrt (- y z)) (cbrt (- y z)))
0.7b
(* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z))))
4.2b
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) 1) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z)))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
1965×cbrt-prod
1651×times-frac
1364×add-sqr-sqrt
1151×*-un-lft-identity
832×associate-*l*
625×add-cube-cbrt
266×add-exp-log
261×distribute-lft-out--
257×difference-of-squares
126×div-exp
100×prod-exp
93×add-cbrt-cube
80×cbrt-undiv
72×cbrt-div
67×cbrt-unprod
56×unswap-sqr
47×associate-*r*
34×associate-/r/
31×flip3-- flip--
25×pow1
20×swap-sqr
18×frac-times div-inv
14×1-exp
12×pow1/3 associate-*r/
10×associate-*l/
8×pow-prod-down
4×expm1-log1p-u pow-sqr *-commutative pow-prod-up log1p-expm1-u add-log-exp
2×pow2 pow-plus
Counts
4 → 1126
Calls
4 calls:
37.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
31.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
656.0ms
(* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z))))
360.0ms
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) 1) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z)))))

series2.7s

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
172.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
2.2s
(* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z))))
171.0ms
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) 1) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z)))))

simplify2.2s

Counts
1138 → 1138
Iterations
IterNodes
done5001
13225
0959

prune10.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes679.0ms

Accuracy

76% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch2.0ms

simplify6.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample1.4s

Algorithm
intervals
Results
612.0ms8711×body80valid
0.0ms1×body1280valid