Details

Time bar (total: 5.4s)

sample28.0ms

Algorithm
intervals
Results
16.0ms280×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: 1.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.1b
(* y (/ (- z t) (- a t)))

rewrite39.0ms

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:
10.0ms
(/ (- z t) (- a t))
24.0ms
(* y (/ (- z t) (- a t)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- z t) (- a t))
67.0ms
(* y (/ (- z t) (- a t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune244.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (- a t) (- z t)))
2.1b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
10.0ms
(/ (- a t) (- z t))
15.0ms
(/ 1 (/ (- a t) (- z t)))
54.0ms
(* y (/ 1 (/ (- a t) (- z t))))

series338.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- a t) (- z t))
132.0ms
(/ 1 (/ (- a t) (- z t)))
154.0ms
(* y (/ 1 (/ (- a t) (- z t))))

simplify102.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08862724
145392439
250012153

prune619.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.1b
(/ y (/ (- a t) (- z t)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
11.0ms
(/ (- a t) (- z t))
14.0ms
(/ y (/ (- a t) (- z t)))

series201.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- a t) (- z t))
155.0ms
(/ y (/ (- a t) (- z t)))

simplify79.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06331784
128621733
250011730

prune657.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (/ (- a t) (- z t)) y))
2.0b
(/ (/ (- a t) (- z t)) y)

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 611
Calls
3 calls:
10.0ms
(/ (- a t) (- z t))
32.0ms
(/ 1 (/ (/ (- a t) (- z t)) y))
22.0ms
(/ (/ (- a t) (- z t)) y)

series295.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- a t) (- z t))
159.0ms
(/ 1 (/ (/ (- a t) (- z t)) y))
87.0ms
(/ (/ (- a t) (- z t)) y)

simplify101.0ms

Algorithm
egg-herbie
Counts
620 → 620
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
017607383
150016711

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

55.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.3b

bsearch83.0ms

Steps
ItersRangePoint
8
1.695087545277364e-96
8.197812324294091e-94
1.3093153923071058e-95
9
-8.610752558465308e-119
-2.353059776330631e-125
-4.8363940718283967e-119

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02510
12510

end0.0ms

sample761.0ms

Algorithm
intervals
Results
500.0ms8754×body80valid