Details

Time bar (total: 4.6s)

sample31.0ms

Algorithm
intervals
Results
18.0ms275×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0205
1364
2594
31034
41734
52364
62654
73114
83754
95114
106744
1111794
1213004
1313084
1413084

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- z t) (- a t))
24.0ms
(* y (/ (- z t) (- a t)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- z t) (- a t))
71.0ms
(* y (/ (- z t) (- a t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0356664
11414623
25001623

prune279.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))))

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 expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 125
Calls
3 calls:
8.0ms
(/ 1 (- a t))
24.0ms
(* (- z t) (/ 1 (- a t)))
25.0ms
(* y (* (- z t) (/ 1 (- a t))))

series162.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- a t))
56.0ms
(* (- z t) (/ 1 (- a t)))
70.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify58.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0391700
11784591
25003549

prune299.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite73.0ms

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×expm1-log1p-u associate-*r/ log1p-expm1-u 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 → 150
Calls
4 calls:
50.0ms
(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
5.0ms
(cbrt (/ (- z t) (- a t)))
5.0ms
(cbrt (/ (- z t) (- a t)))
6.0ms
(cbrt (/ (- z t) (- a t)))

series1.4s

Counts
4 → 12
Calls
4 calls:
178.0ms
(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
331.0ms
(cbrt (/ (- z t) (- a t)))
334.0ms
(cbrt (/ (- z t) (- a t)))
556.0ms
(cbrt (/ (- z t) (- a t)))

simplify116.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
04621675
111281602
240831588
350011579

prune588.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
10.0ms
(/ (* (- z t) y) (- a t))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (* (- z t) y) (- a t))

simplify98.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0209186
1900159
24482159
35001159

prune82.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes203.0ms

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

sample764.0ms

Algorithm
intervals
Results
499.0ms8687×body80valid