Details

Time bar (total: 17.7s)

sample43.0ms

Algorithm
intervals
Results
17.0ms267×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2309
3699
41809
55179
616989
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.9b
(/ x (* (- y z) (- t z)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
61.0ms
(* (- y z) (- t z))
20.0ms
(/ x (* (- y z) (- t z)))

series260.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (- y z) (- t z))
193.0ms
(/ x (* (- y z) (- t z)))

simplify1.5s

Counts
91 → 91
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01761460
14371281
225201105
done50011077

prune355.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
106.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt x)
269.0ms
(cbrt x)
315.0ms
(cbrt x)
257.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify2.5s

Counts
130 → 130
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01841873
15811804
237001442
done50001303

prune447.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- t z)))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
38×add-cbrt-cube
25×prod-exp cbrt-unprod
19×add-sqr-sqrt
17×cbrt-undiv div-exp
15×*-un-lft-identity
11×add-cube-cbrt times-frac associate-*r* associate-*l*
9×cbrt-prod
6×pow1
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
176.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- t z)))

series1.6s

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt x)
764.0ms
(cbrt x)
345.0ms
(cbrt x)
209.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- t z)))

simplify2.2s

Counts
113 → 113
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01692362
15602299
231871373
done5000925

prune504.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.1b
(/ (/ x (- y z)) (- t z))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
23.0ms
(/ x (- y z))
60.0ms
(/ (/ x (- y z)) (- t z))

series261.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ x (- y z))
215.0ms
(/ (/ x (- y z)) (- t z))

simplify1.4s

Counts
195 → 195
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02683384
16603198
225573128
done50003122

prune637.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes324.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
11838
done1838

end0.0ms

sample964.0ms

Algorithm
intervals
Results
479.0ms8433×body80valid