Details

Time bar (total: 3.1s)

sample45.0ms

Algorithm
intervals
Results
21.0ms493×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
033313
133313

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: 6.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b
(- (* z z) t)
5.7b
(* (* y 4.0) (- (* z z) t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r* associate--r+
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.0ms
(- (* z z) t)
8.0ms
(* (* y 4.0) (- (* z z) t))

series37.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.0ms
(- (* z z) t)
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05051690

prune77.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59463
Fresh000
Picked011
Done000
Total59564

Merged error: 2.9b

Counts
64 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

3.1b
(cbrt (+ (* x x) (* y (* 4.0 (- t (* z z))))))
5.7b
(* y (* 4.0 (- t (* z z))))
5.7b
(* y (* 4.0 (- t (* z z))))
5.7b
(* y (* 4.0 (- t (* z z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×distribute-rgt-in distribute-lft-in
19×pow1 add-exp-log add-cbrt-cube
12×sub-neg associate-*r/
9×associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod flip3-- associate-*r* *-commutative flip--
2×cbrt-div
1×flip3-+ pow1/3 flip-+
Counts
4 → 97
Calls
4 calls:
3.0ms
(cbrt (+ (* x x) (* y (* 4.0 (- t (* z z))))))
7.0ms
(* y (* 4.0 (- t (* z z))))
7.0ms
(* y (* 4.0 (- t (* z z))))
7.0ms
(* y (* 4.0 (- t (* z z))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cbrt (+ (* x x) (* y (* 4.0 (- t (* z z))))))
16.0ms
(* y (* 4.0 (- t (* z z))))
18.0ms
(* y (* 4.0 (- t (* z z))))
16.0ms
(* y (* 4.0 (- t (* z z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049451295
149451295

prune146.0ms

Filtered
61 candidates to 109 candidates (-78.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh033
Picked011
Done011
Total1095114

Merged error: 2.9b

Counts
114 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z z) t)
3.7b
(- (pow z 4) (* t t))
8.4b
(* y (* 4.0 (- (pow z 4) (* t t))))
22.6b
(/ (* y (* 4.0 (- (pow z 4) (* t t)))) (+ (* z z) t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt
8×distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
7×add-cube-cbrt *-un-lft-identity
6×prod-exp cbrt-unprod
5×sub-neg
3×cbrt-undiv flip3-- times-frac div-exp associate-*l* pow-prod-down associate-/r* flip-- difference-of-squares
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×+-commutative unpow-prod-down frac-2neg diff-log associate-*r* clear-num sum-log *-commutative div-inv associate-/l* sqr-pow
Counts
4 → 81
Calls
4 calls:
4.0ms
(+ (* z z) t)
4.0ms
(- (pow z 4) (* t t))
8.0ms
(* y (* 4.0 (- (pow z 4) (* t t))))
12.0ms
(/ (* y (* 4.0 (- (pow z 4) (* t t)))) (+ (* z z) t))

series70.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (* z z) t)
8.0ms
(- (pow z 4) (* t t))
22.0ms
(* y (* 4.0 (- (pow z 4) (* t t))))
36.0ms
(/ (* y (* 4.0 (- (pow z 4) (* t t)))) (+ (* z z) t))

simplify26.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
050441065

prune101.0ms

Filtered
57 candidates to 93 candidates (-63.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done022
Total93598

Merged error: 2.9b

Counts
98 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (sqrt t))
0.0b
(+ z (sqrt t))
0.1b
(* y (* 4.0 (+ z (sqrt t))))
0.2b
(* (* y (* 4.0 (+ z (sqrt t)))) (- z (sqrt t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log associate-*r/ add-cbrt-cube
14×add-sqr-sqrt
12×*-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
8×add-log-exp
7×associate-*r*
6×distribute-rgt-in add-cube-cbrt distribute-lft-in
5×flip3-+ flip-+
4×frac-times flip3-- associate-*l* flip-- difference-of-squares
3×sub-neg
2×associate-*l/ sqrt-prod *-commutative distribute-lft-out--
1×+-commutative diff-log sum-log distribute-lft-out
Counts
4 → 87
Calls
4 calls:
4.0ms
(- z (sqrt t))
4.0ms
(+ z (sqrt t))
8.0ms
(* y (* 4.0 (+ z (sqrt t))))
13.0ms
(* (* y (* 4.0 (+ z (sqrt t)))) (- z (sqrt t)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- z (sqrt t))
4.0ms
(+ z (sqrt t))
10.0ms
(* y (* 4.0 (+ z (sqrt t))))
19.0ms
(* (* y (* 4.0 (+ z (sqrt t)))) (- z (sqrt t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049741046
149741046

prune89.0ms

Filtered
69 candidates to 99 candidates (-43.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done033
Total986104

Merged error: 2.9b

Counts
104 → 6

regimes832.0ms

Accuracy

87% (0.5b remaining)

Error of 3.5b against oracle of 3.0b and baseline of 6.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02736
12736

end0.0ms

sample1.3s

Algorithm
intervals
Results
574.0ms15712×body80valid

Profiling

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