Details

Time bar (total: 8.0s)

sample24.0ms

Algorithm
intervals
Results
12.0ms284×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0205
1345
2555
3935
41495
51845
62025
72295
82805
93725
104655
117685
128765
138785
148785

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.9b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z t) (- a t))
67.0ms
(* y (/ (- z t) (- a t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25002606

prune214.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh000
Picked011
Done000
Total1018109

Merged error: 0.0b

Counts
109 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- a t))
13.0ms
(* (- z t) (/ 1 (- a t)))
12.0ms
(* y (* (- z t) (/ 1 (- a t))))

series156.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (- a t))
48.0ms
(* (- z t) (/ 1 (- a t)))
69.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify48.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0381671
11768562
25001520

prune195.0ms

Filtered
128 candidates to 72 candidates (56.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh066
Picked011
Done011
Total1288136

Merged error: 0.0b

Counts
136 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
150×add-sqr-sqrt associate-*r*
134×*-un-lft-identity
125×cbrt-prod
114×cbrt-div
66×add-cube-cbrt associate-/r/
57×flip3-- flip--
36×frac-times
33×distribute-lft-out--
31×difference-of-squares
20×add-exp-log
19×associate-*r/
18×associate-*l/
13×pow1 add-cbrt-cube
11×associate-*l*
10×swap-sqr
9×div-inv unswap-sqr
8×pow1/3
6×prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 254
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
10.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
49.0ms
(* y (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))

series492.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- a t))
148.0ms
(cbrt (- a t))
127.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
69.0ms
(* y (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))

simplify55.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011832896
150012721

prune732.0ms

Filtered
266 candidates to 194 candidates (72.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2651266
Fresh055
Picked011
Done022
Total2659274

Merged error: 0.0b

Counts
274 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
1.0b
(* (* y (/ (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (/ (cbrt (- z t)) (cbrt (- a t))) (cbrt (cbrt (- a t)))))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
1801×cbrt-prod
1474×times-frac
1076×add-sqr-sqrt *-un-lft-identity
776×associate-*r*
580×add-cube-cbrt
248×distribute-lft-out-- difference-of-squares
79×add-exp-log
50×cbrt-div
38×add-cbrt-cube
30×cbrt-undiv div-exp prod-exp cbrt-unprod
24×associate-/r/
20×flip3-- flip--
12×div-inv
9×pow1
5×frac-times associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*l* *-commutative
Counts
4 → 867
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
9.0ms
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
169.0ms
(* (* y (/ (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (/ (cbrt (- z t)) (cbrt (- a t))) (cbrt (cbrt (- a t)))))

series677.0ms

Counts
4 → 12
Calls
4 calls:
294.0ms
(cbrt (- z t))
155.0ms
(cbrt (- z t))
156.0ms
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
71.0ms
(* (* y (/ (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (/ (cbrt (- z t)) (cbrt (- a t))) (cbrt (cbrt (- a t)))))

simplify271.0ms

Algorithm
egg-herbie
Counts
879 → 879
Iterations

Useful iterations: 1 (85.0ms)

IterNodesCost
0486524441
1500124365

prune3.5s

Filtered
879 candidates to 606 candidates (68.9%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New8781879
Fresh055
Picked011
Done033
Total87810888

Merged error: 0b

Counts
888 → 10

regimes357.0ms

Accuracy

52.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03945
13945

end0.0ms

sample568.0ms

Algorithm
intervals
Results
304.0ms8724×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid

Profiling

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