Details

Time bar (total: 6.8s)

analyze1.3s

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
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
14.9%84.9%0.2%13
16.2%83.5%0.3%14

sample75.0ms

Algorithm
intervals
Results
8.0ms213×body80valid
2.0ms15×body640valid
2.0ms8×body1280valid
1.0ms11×body320valid
1.0ms8×body160valid
0.0ms1×body2560valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0491213
1491213

prune15.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.2b

Counts
2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.5b
(* (- y x) (/ (- z t) (- a t)))
10.1b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
8.0ms
(/ (- z t) (- a t))
16.0ms
(* (- y x) (/ (- z t) (- a t)))
4.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series88.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) (- a t))
30.0ms
(* (- y x) (/ (- z t) (- a t)))
49.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify44.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050681606

prune208.0ms

Filtered
87 candidates to 128 candidates (-47.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1199128
Fresh011
Picked101
Done000
Total12010130

Merged error: 3.3b

Counts
130 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
2.5b
(* (- y x) (* (- z t) (/ 1 (- a t))))
10.1b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
5.0ms
(/ 1 (- a t))
13.0ms
(* (- z t) (/ 1 (- a t)))
14.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
4.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1 (- a t))
10.0ms
(* (- z t) (/ 1 (- a t)))
30.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
50.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
057481773

prune182.0ms

Filtered
98 candidates to 158 candidates (-61.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1571158
Fresh189
Picked011
Done000
Total15810168

Merged error: 3.3b

Counts
168 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

3.4b
(cbrt (* (- y x) (/ (- z t) (- a t))))
3.4b
(cbrt (* (- y x) (/ (- z t) (- a t))))
3.4b
(cbrt (* (- y x) (/ (- z t) (- a t))))
10.1b
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-div
6×frac-times flip3-- associate-*l/ flip-- add-log-exp
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×cbrt-prod pow1/3 associate-*r/
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 53
Calls
4 calls:
10.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
10.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
10.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
3.0ms
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
484.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
490.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
585.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
49.0ms
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

simplify43.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04974976
14974976

prune124.0ms

Filtered
60 candidates to 65 candidates (-8.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh088
Picked011
Done011
Total651075

Merged error: 3.3b

Counts
75 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.5b
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
10.1b
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
82×frac-times
76×cbrt-div
56×flip3-- flip--
38×associate-*l/
32×associate-*r/
22×add-exp-log
16×add-cbrt-cube
13×pow1 add-sqr-sqrt *-un-lft-identity
11×prod-exp cbrt-unprod
10×cbrt-prod
7×add-cube-cbrt
6×pow-prod-down add-log-exp
5×associate-*l*
3×distribute-lft-out-- difference-of-squares
2×cbrt-undiv pow1/3 div-exp
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 121
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
26.0ms
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
4.0ms
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

series129.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (- z t))
24.0ms
(cbrt (- z t))
33.0ms
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
47.0ms
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050062960

prune141.0ms

Filtered
90 candidates to 133 candidates (-47.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh077
Picked011
Done022
Total13310143

Merged error: 3.3b

Counts
143 → 10

regimes714.0ms

Accuracy

36% (5.5b remaining)

Error of 9.1b against oracle of 3.6b and baseline of 12.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09061
19061

end0.0ms

sample1.6s

Algorithm
intervals
Results
254.0ms6491×body80valid
76.0ms489×body640valid
54.0ms281×body1280valid
51.0ms440×body320valid
22.0ms283×body160valid
4.0ms16×body2560valid

Profiling

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