Details

Time bar (total: 3.2s)

sample31.0ms

Algorithm
intervals
Results
12.0ms321×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
09711
19711

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
2.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
17.0ms
(- (/ y z) (/ t (- 1.0 z)))
25.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ t (- 1.0 z))
8.0ms
(- (/ y z) (/ t (- 1.0 z)))
15.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify34.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
058661153

prune169.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New851398
Fresh000
Picked101
Done000
Total861399

Merged error: 1.0b

Counts
99 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (neg t) (- 1.0 z))
0.0b
(+ (* x (/ y z)) (* x (/ (neg t) (- 1.0 z))))
3.1b
(* x (/ (neg t) (- 1.0 z)))
4.6b
(* x (/ y z))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
120×add-sqr-sqrt
111×times-frac
110×*-un-lft-identity
69×associate-*r*
68×add-cube-cbrt
33×distribute-lft-neg-in distribute-rgt-neg-in
21×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube
11×neg-mul-1
10×associate-/l*
8×pow1
6×associate-*l* add-log-exp
5×associate-/r*
4×associate-*r/ distribute-frac-neg prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×cbrt-undiv div-exp distribute-rgt-neg-out div-inv
2×flip3-- pow-prod-down *-commutative flip--
1×+-commutative neg-sub0 frac-2neg flip3-+ div-sub unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 204
Calls
4 calls:
6.0ms
(/ (neg t) (- 1.0 z))
5.0ms
(+ (* x (/ y z)) (* x (/ (neg t) (- 1.0 z))))
16.0ms
(* x (/ (neg t) (- 1.0 z)))
6.0ms
(* x (/ y z))

series42.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (neg t) (- 1.0 z))
21.0ms
(+ (* x (/ y z)) (* x (/ (neg t) (- 1.0 z))))
11.0ms
(* x (/ (neg t) (- 1.0 z)))
5.0ms
(* x (/ y z))

simplify52.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051732227

prune279.0ms

Filtered
148 candidates to 216 candidates (-45.9%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New2097216
Fresh4812
Picked101
Done000
Total21415229

Merged error: 0.2b

Counts
229 → 15

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.2b
(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))
3.1b
(* x (/ (neg t) (- 1.0 z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
57×associate-*r*
54×*-un-lft-identity
51×times-frac
34×add-cube-cbrt
27×add-exp-log
19×add-cbrt-cube
15×distribute-lft-neg-in distribute-rgt-neg-in
11×pow1 prod-exp cbrt-unprod
10×distribute-lft-out-- difference-of-squares
6×cbrt-prod associate-*l*
5×cbrt-undiv neg-mul-1 associate-*r/ div-exp
4×pow-prod-down add-log-exp
3×unswap-sqr
2×pow1/3 associate-/r/ *-commutative
1×frac-times flip3-- distribute-frac-neg associate-*l/ distribute-rgt-neg-out flip-- div-inv
Counts
4 → 126
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
13.0ms
(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))
18.0ms
(* x (/ (neg t) (- 1.0 z)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt y)
22.0ms
(cbrt y)
26.0ms
(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))
11.0ms
(* x (/ (neg t) (- 1.0 z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
051101212

prune196.0ms

Filtered
89 candidates to 138 candidates (-55.1%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1335138
Fresh31114
Picked101
Done000
Total13716153

Merged error: 0b

Counts
153 → 16

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (neg t))
0.6b
(cbrt (neg t))
0.9b
(* x (* (/ (cbrt (neg t)) (cbrt (- 1.0 z))) (/ (cbrt (neg t)) (cbrt (- 1.0 z)))))
1.2b
(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
24×add-cbrt-cube
20×cbrt-prod
18×prod-exp cbrt-unprod
14×pow1 add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
8×cbrt-undiv associate-*r/ div-exp
6×distribute-lft-neg-in distribute-rgt-neg-in associate-*l* pow-prod-down
4×add-log-exp
2×frac-times neg-mul-1 pow1/3 associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
2.0ms
(cbrt (neg t))
2.0ms
(cbrt (neg t))
26.0ms
(* x (* (/ (cbrt (neg t)) (cbrt (- 1.0 z))) (/ (cbrt (neg t)) (cbrt (- 1.0 z)))))
13.0ms
(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))

series129.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (neg t))
24.0ms
(cbrt (neg t))
52.0ms
(* x (* (/ (cbrt (neg t)) (cbrt (- 1.0 z))) (/ (cbrt (neg t)) (cbrt (- 1.0 z)))))
27.0ms
(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05314976

prune150.0ms

Filtered
66 candidates to 104 candidates (-57.6%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1040104
Fresh01515
Picked011
Done000
Total10416120

Merged error: 0b

Counts
120 → 16

regimes767.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02548
12548

end0.0ms

sample868.0ms

Algorithm
intervals
Results
397.0ms10139×body80valid

Profiling

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