Details

Time bar (total: 6.9s)

sample29.0ms

Algorithm
intervals
Results
10.0ms284×body80valid

simplify43.0ms

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

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.8b
(* y (/ (- z t) (- a t)))

rewrite24.0ms

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:
7.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z t) (- a t))
16.0ms
(* y (/ (- z t) (- a t)))

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0349647
11396606
25002606

prune119.0ms

Filtered
108 candidates to 71 candidates (34.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh000
Picked011
Done000
Total1018109

Merged error: 0.0b

Counts
109 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.8b
(* y (* (- z t) (/ 1 (- a t))))

rewrite34.0ms

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))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ 1 (- a t))
9.0ms
(* (- z t) (/ 1 (- a t)))
15.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify45.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0381671
11768562
25001520

prune116.0ms

Filtered
128 candidates to 73 candidates (43.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh066
Picked011
Done011
Total1288136

Merged error: 0.0b

Counts
136 → 8

localize12.0ms

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)))
7.9b
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt
79×*-un-lft-identity
65×cbrt-prod
54×associate-*r*
50×times-frac
35×add-cube-cbrt
30×cbrt-div
27×add-exp-log
23×associate-*l*
21×distribute-lft-out--
19×difference-of-squares
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
10×swap-sqr associate-/r/ unswap-sqr
9×frac-times prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 177
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
10.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
32.0ms
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a t))
29.0ms
(cbrt (- a t))
30.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
26.0ms
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify103.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07771957
138971783
250011649

prune182.0ms

Filtered
189 candidates to 128 candidates (32.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1881189
Fresh055
Picked011
Done022
Total1889197

Merged error: 0b

Counts
197 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
0.6b
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
0.6b
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
7.9b
(* (/ y (* (* (cbrt (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (- z t) (cbrt (- a t))))

rewrite701.0ms

Algorithm
rewrite-expression-head
Rules
4922×cbrt-div
2201×frac-times
1477×flip3-- flip--
735×associate-*l*
730×associate-/r/
645×associate-*l/
573×associate-*r/
59×add-sqr-sqrt
51×*-un-lft-identity
46×associate-*r*
45×times-frac
36×add-exp-log
29×cbrt-prod
25×add-cube-cbrt
24×add-cbrt-cube
14×prod-exp cbrt-unprod
13×distribute-lft-out-- difference-of-squares
10×cbrt-undiv div-exp
6×pow1
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 863
Calls
4 calls:
8.0ms
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
8.0ms
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
8.0ms
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
455.0ms
(* (/ y (* (* (cbrt (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (- z t) (cbrt (- a t))))

series119.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
33.0ms
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
30.0ms
(cbrt (* (cbrt (- a t)) (cbrt (- a t))))
27.0ms
(* (/ y (* (* (cbrt (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (- z t) (cbrt (- a t))))

simplify207.0ms

Algorithm
egg-herbie
Counts
875 → 875
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0245922791
1500121645

prune3.4s

Filtered
875 candidates to 841 candidates (3.9%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New8750875
Fresh055
Picked011
Done033
Total8759884

Merged error: 0b

Counts
884 → 9

regimes668.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample785.0ms

Algorithm
intervals
Results
303.0ms8706×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid

Profiling

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