Details

Time bar (total: 3.1s)

analyze783.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
3.1%96.7%0.2%7
6.2%93.6%0.2%8
8.6%91.2%0.2%9
28.1%71.7%0.2%10
31%68.8%0.2%11
40.5%59.3%0.2%12
49.6%50.2%0.2%13
59%40.8%0.2%14

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms15×body80invalid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
0515317

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 6.8b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(- (* t z) x)
0.2b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.9b
(/ (- (* y z) x) (- (* t z) x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 flip3-- associate-/r/ flip-- associate-/l/
3×div-sub
2×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
1×associate-+r-
Counts
4 → 95
Calls
4 calls:
4.0ms
(- (* y z) x)
4.0ms
(- (* t z) x)
17.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms
(/ (- (* y z) x) (- (* t z) x))

series60.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* y z) x)
5.0ms
(- (* t z) x)
33.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify56.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050231777

prune144.0ms

Filtered
81 candidates to 107 candidates (-32.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1016107
Fresh000
Picked011
Done000
Total1017108

Merged error: 0.2b

Counts
108 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
1.5b
(/ y (- (* z t) x))
2.2b
(/ x (- (* z t) x))
6.7b
(* z (/ y (- (* z t) x)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
44×times-frac
43×add-sqr-sqrt
38×add-cube-cbrt
15×add-exp-log associate-*r* add-cbrt-cube
10×associate-/r* distribute-lft-out associate-/l*
8×associate-/r/
6×pow1
4×cbrt-undiv div-exp div-inv add-log-exp
3×flip3-- frac-2neg associate-*l* clear-num flip--
2×flip3-+ prod-exp cbrt-unprod flip-+ associate-/l/ unswap-sqr
1×associate-+r- div-sub associate-*r/ pow-prod-down *-commutative
Counts
4 → 133
Calls
4 calls:
19.0ms
(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
10.0ms
(/ y (- (* z t) x))
10.0ms
(/ x (- (* z t) x))
11.0ms
(* z (/ y (- (* z t) x)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
10.0ms
(/ y (- (* z t) x))
11.0ms
(/ x (- (* z t) x))
14.0ms
(* z (/ y (- (* z t) x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
052212386

prune162.0ms

Filtered
105 candidates to 145 candidates (-38.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1423145
Fresh235
Picked011
Done101
Total1457152

Merged error: 0.2b

Counts
152 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

4.7b
(* z (* (/ (cbrt y) (cbrt (- (* z t) x))) (/ (cbrt y) (cbrt (- (* z t) x)))))
6.7b
(cbrt (- (* z t) x))
6.7b
(cbrt (- (* z t) x))
6.7b
(cbrt (- (* z t) x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
9×pow1 cbrt-prod add-sqr-sqrt prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×cbrt-undiv associate-*r/ div-exp add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down flip--
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 67
Calls
4 calls:
21.0ms
(* z (* (/ (cbrt y) (cbrt (- (* z t) x))) (/ (cbrt y) (cbrt (- (* z t) x)))))
4.0ms
(cbrt (- (* z t) x))
4.0ms
(cbrt (- (* z t) x))
4.0ms
(cbrt (- (* z t) x))

series181.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* z (* (/ (cbrt y) (cbrt (- (* z t) x))) (/ (cbrt y) (cbrt (- (* z t) x)))))
34.0ms
(cbrt (- (* z t) x))
31.0ms
(cbrt (- (* z t) x))
31.0ms
(cbrt (- (* z t) x))

simplify60.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
051311033

prune108.0ms

Filtered
59 candidates to 79 candidates (-33.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh055
Picked011
Done011
Total79786

Merged error: 0.2b

Counts
86 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

1.5b
(/ y (- (* z t) x))
2.2b
(/ x (- (* z t) x))
2.8b
(* (/ y (- (* z t) x)) (cbrt z))
4.0b
(* (* (cbrt z) (cbrt z)) (* (/ y (- (* z t) x)) (cbrt z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
34×add-exp-log
29×add-cube-cbrt *-un-lft-identity times-frac
22×add-cbrt-cube
18×pow1
16×associate-*l*
15×prod-exp cbrt-unprod
9×pow-prod-down
7×associate-*r*
6×associate-/r* associate-/r/ associate-/l*
5×cbrt-undiv cbrt-prod div-exp
4×add-log-exp unswap-sqr
3×flip3-- flip-- div-inv
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 124
Calls
4 calls:
6.0ms
(/ y (- (* z t) x))
6.0ms
(/ x (- (* z t) x))
10.0ms
(* (/ y (- (* z t) x)) (cbrt z))
13.0ms
(* (* (cbrt z) (cbrt z)) (* (/ y (- (* z t) x)) (cbrt z)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ y (- (* z t) x))
11.0ms
(/ x (- (* z t) x))
36.0ms
(* (/ y (- (* z t) x)) (cbrt z))
18.0ms
(* (* (cbrt z) (cbrt z)) (* (/ y (- (* z t) x)) (cbrt z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
053961437

prune123.0ms

Filtered
97 candidates to 136 candidates (-40.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh044
Picked011
Done022
Total1367143

Merged error: 0.2b

Counts
143 → 7

regimes281.0ms

Accuracy

0% (2.4b remaining)

Error of 2.8b against oracle of 0.3b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04245
14245

end0.0ms

sample614.0ms

Algorithm
intervals
Results
381.0ms8000×body80valid
15.0ms339×body80invalid

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