Details

Time bar (total: 2.8s)

sample30.0ms

Algorithm
intervals
Results
10.0ms280×body80valid

simplify195.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (194.0ms)

IterNodesCost
0559011

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.7b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- z t) (- a t))
17.0ms
(* y (/ (- z t) (- a t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050241163

prune121.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh000
Picked101
Done000
Total1036109

Merged error: 0.0b

Counts
109 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*r*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp clear-num frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 144
Calls
4 calls:
5.0ms
(/ t (- a t))
5.0ms
(/ z (- a t))
29.0ms
(- (/ z (- a t)) (/ t (- a t)))
32.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ t (- a t))
7.0ms
(/ z (- a t))
14.0ms
(- (/ z (- a t)) (/ t (- a t)))
24.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

simplify72.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049131663
149131663

prune139.0ms

Filtered
111 candidates to 156 candidates (-40.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1551156
Fresh325
Picked011
Done000
Total1584162

Merged error: 0.0b

Counts
162 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

2.6b
(* y (/ (- z t) (- a t)))
5.6b
(cbrt (* y (/ (- z t) (- a t))))
5.6b
(cbrt (* y (/ (- z t) (- a t))))
5.6b
(cbrt (* y (/ (- z t) (- a t))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*r*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 80
Calls
4 calls:
14.0ms
(* y (/ (- z t) (- a t)))
8.0ms
(cbrt (* y (/ (- z t) (- a t))))
11.0ms
(cbrt (* y (/ (- z t) (- a t))))
8.0ms
(cbrt (* y (/ (- z t) (- a t))))

series319.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* y (/ (- z t) (- a t)))
190.0ms
(cbrt (* y (/ (- z t) (- a t))))
57.0ms
(cbrt (* y (/ (- z t) (- a t))))
56.0ms
(cbrt (* y (/ (- z t) (- a t))))

simplify34.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05071935

prune102.0ms

Filtered
70 candidates to 92 candidates (-31.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh022
Picked011
Done011
Total92496

Merged error: 0.0b

Counts
96 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×associate-*l*
19×*-un-lft-identity
16×times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×distribute-lft-out-- difference-of-squares
3×pow1 flip3-- flip--
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
12.0ms
(* (/ y (- a t)) (- z t))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (/ y (- a t)) (- z t))

simplify41.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05344578

prune47.0ms

Filtered
38 candidates to 53 candidates (-39.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New52153
Fresh011
Picked011
Done022
Total52557

Merged error: 0b

Counts
57 → 5

regimes487.0ms

Accuracy

42.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04436
14436

end0.0ms

sample820.0ms

Algorithm
intervals
Results
313.0ms8786×body80valid

Profiling

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