Details

Time bar (total: 3.0s)

sample34.0ms

Algorithm
intervals
Results
9.0ms236×body80valid
3.0ms20×body640valid
1.0ms11×body320valid
1.0ms5×body1280valid
0.0ms7×body160valid
0.0ms1×body2560valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
0489313
1489313

prune17.0ms

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: 6.6b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- t a))
2.6b
(* y (/ (- z t) (- t a)))
3.2b
(+ y (* y (/ (- z t) (- t a))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp 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 → 113
Calls
3 calls:
8.0ms
(/ (- z t) (- t a))
14.0ms
(* y (/ (- z t) (- t a)))
3.0ms
(+ y (* y (/ (- z t) (- t a))))

series51.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) (- t a))
19.0ms
(* y (/ (- z t) (- t a)))
23.0ms
(+ y (* y (/ (- z t) (- t a))))

simplify42.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050251354

prune161.0ms

Filtered
83 candidates to 122 candidates (-47.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1148122
Fresh011
Picked011
Done000
Total11410124

Merged error: 4.5b

Counts
124 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t a))
0.6b
(cbrt (- t a))
0.6b
(cbrt (- t a))
8.8b
(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (cbrt (- t a)))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- t a))
3.0ms
(cbrt (- t a))
3.0ms
(cbrt (- t a))
4.0ms
(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (cbrt (- t a)))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- t a))
27.0ms
(cbrt (- t a))
27.0ms
(cbrt (- t a))
26.0ms
(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (cbrt (- t a)))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

simplify38.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05067634

prune123.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New66268
Fresh178
Picked011
Done011
Total671178

Merged error: 4.5b

Counts
78 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t a))
0.6b
(cbrt (- t a))
0.6b
(cbrt (- t a))
11.5b
(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (cbrt (- t a)))))) (/ (cbrt (- z t)) (* (cbrt (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (cbrt (- t a)))))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- t a))
3.0ms
(cbrt (- t a))
3.0ms
(cbrt (- t a))
5.0ms
(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (cbrt (- t a)))))) (/ (cbrt (- z t)) (* (cbrt (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (cbrt (- t a)))))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t a))
26.0ms
(cbrt (- t a))
28.0ms
(cbrt (- t a))
24.0ms
(+ y (* (* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- t a)) (cbrt (- t a)))))) (/ (cbrt (- z t)) (* (cbrt (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (cbrt (- t a)))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04960970
14960970

prune138.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New66268
Fresh088
Picked101
Done022
Total671279

Merged error: 4.5b

Counts
79 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.6b
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a))))
11.5b
(+ y (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
22×add-exp-log associate-*r/
16×frac-times add-cbrt-cube
14×flip3-- flip--
13×pow1
12×associate-*l/
11×add-sqr-sqrt *-un-lft-identity prod-exp cbrt-unprod
10×cbrt-prod
7×add-cube-cbrt
6×pow-prod-down add-log-exp
3×associate-*l*
2×cbrt-undiv pow1/3 div-exp distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
23.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a))))
4.0ms
(+ y (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a)))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
17.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a))))
26.0ms
(+ y (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049421130
149421130

prune95.0ms

Filtered
67 candidates to 95 candidates (-41.8%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh189
Picked101
Done022
Total9611107

Merged error: 4.5b

Counts
107 → 11

regimes669.0ms

Accuracy

0% (4.6b remaining)

Error of 7.7b against oracle of 3.1b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04035
14035

end0.0ms

sample909.0ms

Algorithm
intervals
Results
274.0ms7387×body80valid
63.0ms463×body640valid
45.0ms249×body1280valid
40.0ms381×body320valid
20.0ms288×body160valid
4.0ms18×body2560valid

Profiling

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