Details

Time bar (total: 4.0s)

sample28.0ms

Algorithm
intervals
Results
16.0ms275×body80valid

simplify50.0ms

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

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:
13.0ms
(/ (- z t) (- a t))
23.0ms
(* y (/ (- z t) (- a t)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- z t) (- a t))
61.0ms
(* y (/ (- z t) (- a t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune238.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.3b
(* y (* (- z t) (/ 1 (- a t))))

rewrite61.0ms

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))
24.0ms
(* (- z t) (/ 1 (- a t)))
25.0ms
(* y (* (- z t) (/ 1 (- a t))))

series144.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- a t))
49.0ms
(* (- z t) (/ 1 (- a t)))
62.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0381673
11768564
25001522

prune250.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
3.5b
(cbrt (/ (- z t) (- a t)))
3.5b
(cbrt (/ (- z t) (- a t)))
3.5b
(cbrt (/ (- z t) (- a t)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
98×*-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
45.0ms
(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
5.0ms
(cbrt (/ (- z t) (- a t)))
8.0ms
(cbrt (/ (- z t) (- a t)))
6.0ms
(cbrt (/ (- z t) (- a t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
161.0ms
(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
300.0ms
(cbrt (/ (- z t) (- a t)))
301.0ms
(cbrt (/ (- z t) (- a t)))
305.0ms
(cbrt (/ (- z t) (- a t)))

simplify107.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
04491623
110911553
239461540
350011510

prune495.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

11.9b
(/ (* (- z t) y) (- a t))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- div-exp associate-*l/ associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
9.0ms
(/ (* (- z t) y) (- a t))

series64.0ms

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

simplify89.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0204177
1884150
24387150
35003150

prune74.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample778.0ms

Algorithm
intervals
Results
513.0ms8687×body80valid