Details

Time bar (total: 4.7s)

sample26.0ms

Algorithm
intervals
Results
14.0ms284×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
11.0ms
(/ (- z t) (- a t))
27.0ms
(* y (/ (- z t) (- a t)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z t) (- a t))
64.0ms
(* y (/ (- z t) (- a t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune248.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
18×add-sqr-sqrt cbrt-div
15×cbrt-prod *-un-lft-identity
14×add-cbrt-cube
13×associate-*r*
9×add-cube-cbrt flip3-- prod-exp flip-- cbrt-unprod
8×associate-/r/
6×pow1
4×cbrt-undiv frac-times div-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
2×times-frac associate-*l/ unswap-sqr
1×pow-prod-down *-commutative div-inv
Counts
4 → 83
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
52.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

series603.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- z t))
152.0ms
(cbrt (- z t))
141.0ms
(cbrt (- z t))
157.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0516945
11949822
25001786

prune547.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))))

rewrite62.0ms

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:
6.0ms
(/ 1 (- a t))
24.0ms
(* (- z t) (/ 1 (- a t)))
27.0ms
(* y (* (- z t) (/ 1 (- a t))))

series145.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- a t))
46.0ms
(* (- z t) (/ 1 (- a t)))
64.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify50.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0381673
11768564
25001522

prune247.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

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

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
142×associate-*r*
129×add-sqr-sqrt
115×*-un-lft-identity
104×cbrt-div
102×cbrt-prod
66×associate-/r/
59×add-cube-cbrt
52×flip3-- flip--
32×frac-times
28×distribute-lft-out-- difference-of-squares
18×add-exp-log
17×associate-*r/
16×associate-*l/
13×add-cbrt-cube
9×div-inv
6×pow1
5×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×pow1/3 associate-*l*
1×pow-prod-down *-commutative
Counts
4 → 213
Calls
4 calls:
2.0ms
(cbrt (- a t))
2.0ms
(cbrt (- a t))
2.0ms
(cbrt (- a t))
88.0ms
(* y (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))

series491.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (- a t))
147.0ms
(cbrt (- a t))
143.0ms
(cbrt (- a t))
61.0ms
(* y (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))

simplify50.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010932564
150012427

prune753.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes216.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample724.0ms

Algorithm
intervals
Results
460.0ms8744×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid