Details

Time bar (total: 4.5s)

analyze943.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms34×body80invalid

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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.3b
(* y (/ (- z t) (- a t)))

rewrite28.0ms

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))
16.0ms
(* y (/ (- z t) (- a t)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z t) (- a t))
15.0ms
(* y (/ (- z t) (- a t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0349647
11396606
25002606

prune126.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh000
Picked011
Done000
Total1036109

Merged error: 0b

Counts
109 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.3b
(* (- z t) (/ 1 (- a t)))
1.3b
(* 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))))

series29.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- a t))
9.0ms
(* (- z t) (/ 1 (- a t)))
16.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify52.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0381671
11768562
25001520

prune112.0ms

Filtered
73 candidates to 128 candidates (-75.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh044
Picked011
Done011
Total1286134

Merged error: 0b

Counts
134 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
2.8b
(cbrt (/ (- z t) (- a t)))
2.8b
(cbrt (/ (- z t) (- a t)))
2.8b
(cbrt (/ (- z t) (- a t)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
34.0ms
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
59.0ms
(cbrt (/ (- z t) (- a t)))
61.0ms
(cbrt (/ (- z t) (- a t)))
57.0ms
(cbrt (/ (- z t) (- a t)))

simplify78.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05473648
117593583
250013383

prune247.0ms

Filtered
180 candidates to 288 candidates (-60.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2880288
Fresh033
Picked011
Done022
Total2886294

Merged error: 0b

Counts
294 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
10.7b
(/ (* y (- z t)) (- a t))

rewrite15.0ms

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-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in 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 → 55
Calls
2 calls:
6.0ms
(* y (- z t))
8.0ms
(/ (* y (- z t)) (- a t))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
15.0ms
(/ (* y (- z t)) (- a t))

simplify36.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0264276
11211239
25001239

prune52.0ms

Filtered
39 candidates to 61 candidates (-56.4%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New60161
Fresh112
Picked011
Done033
Total61667

Merged error: 0b

Counts
67 → 6

regimes677.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

analyze934.0ms

Algorithm
search

sample637.0ms

Algorithm
intervals
Results
333.0ms7997×body80valid
29.0ms738×body80invalid
0.0ms2×body640valid
0.0ms1×body1280valid

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