Details

Time bar (total: 3.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms284×body80valid

simplify46.0ms

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: 1.4b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.7b
(* 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:
7.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- z t) (- a t))
64.0ms
(* y (/ (- z t) (- a t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune256.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh000
Picked011
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.7b
(* 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))))

series156.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- a t))
50.0ms
(* (- z t) (/ 1 (- a t)))
72.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0381673
11768564
25001522

prune454.0ms

Filtered
128 candidates to 74 candidates (57.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1262128
Fresh325
Picked011
Done011
Total1296135

Merged error: 0.0b

Counts
135 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
1.7b
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
70×add-sqr-sqrt
60×*-un-lft-identity
51×associate-*r*
41×cbrt-prod
28×add-cube-cbrt
22×add-exp-log
16×add-cbrt-cube distribute-lft-out-- difference-of-squares
8×cbrt-div
7×prod-exp cbrt-unprod
6×pow1 cbrt-undiv div-exp
4×flip3-- flip-- add-log-exp unswap-sqr
3×pow1/3 associate-*l* associate-/r/
2×div-inv
1×associate-*r/ pow-prod-down *-commutative
Counts
4 → 123
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
31.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

series500.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (- z t))
141.0ms
(cbrt (- z t))
138.0ms
(cbrt (- z t))
65.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05911262
127161150
250011111

prune403.0ms

Filtered
135 candidates to 103 candidates (76.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1341135
Fresh123
Picked011
Done022
Total1356141

Merged error: 0b

Counts
141 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- z t) y)
11.4b
(/ (* (- z t) y) (- a t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
6.0ms
(* (- z t) y)
11.0ms
(/ (* (- z t) y) (- a t))

series87.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- z t) y)
57.0ms
(/ (* (- z t) y) (- a t))

simplify34.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0256263
11188226
25001226

prune119.0ms

Filtered
57 candidates to 40 candidates (70.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New55257
Fresh202
Picked011
Done033
Total57663

Merged error: 0b

Counts
63 → 6

regimes218.0ms

Accuracy

31.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02414
12414

end0.0ms

sample563.0ms

Algorithm
intervals
Results
291.0ms8733×body80valid