Details

Time bar (total: 11.8s)

sample35.0ms

Algorithm
intervals
Results
13.0ms285×body80valid

simplify182.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3569
4859
51119
61369
71489
81579
done1579

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.9b
(/ (* x (- y z)) (- t z))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
31.0ms
(* x (- y z))
55.0ms
(/ (* x (- y z)) (- t z))

series181.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* x (- y z))
119.0ms
(/ (* x (- y z)) (- t z))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01571123
1347936
21005772
done5000748

prune215.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.2b
(* x (/ (- y z) (- t z)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
26.0ms
(/ (- y z) (- t z))
73.0ms
(* x (/ (- y z) (- t z)))

series166.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (- y z) (- t z))
96.0ms
(* x (/ (- y z) (- t z)))

simplify2.1s

Counts
112 → 112
Iterations

Useful iterations: 2 (175.0ms)

IterNodesCost
01421355
13521282
29701200
329051200
done50001200

prune306.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.3b
(/ x (/ (- t z) (- y z)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
27.0ms
(/ (- t z) (- y z))
31.0ms
(/ x (/ (- t z) (- y z)))

series321.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ (- t z) (- y z))
237.0ms
(/ x (/ (- t z) (- y z)))

simplify1.5s

Counts
204 → 204
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune570.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(* (cbrt (- t z)) (cbrt (- t z)))
2.2b
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

rewrite483.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
38×cbrt-prod
36×prod-exp
35×add-sqr-sqrt
33×*-un-lft-identity
26×add-cbrt-cube
16×pow1 cbrt-div cbrt-unprod
15×add-cube-cbrt div-exp
11×associate-*l*
10×swap-sqr
9×associate-*r*
8×flip3-- pow1/3 flip-- distribute-lft-out--
7×cbrt-undiv
6×associate-*r/ difference-of-squares
5×frac-times pow-prod-down
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp unswap-sqr
3×associate-*l/
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 133
Calls
4 calls:
5.0ms
(cbrt (- t z))
5.0ms
(cbrt (- t z))
45.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
421.0ms
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

series885.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt (- t z))
254.0ms
(cbrt (- t z))
194.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
243.0ms
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

simplify1.6s

Counts
145 → 145
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02342472
15262230
218831656
done50021471

prune494.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes219.0ms

Accuracy

36.5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01851
12051
done2051

end0.0ms

sample1.1s

Algorithm
intervals
Results
545.0ms8758×body80valid