Details

Time bar (total: 3.3s)

sample23.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.9b
(fma (/ y (- a t)) (- z t) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
16.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series207.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- a t))
179.0ms
(fma (/ y (- a t)) (- z t) x)

simplify119.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune177.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
9.7b
(* (/ y (- a t)) (- z t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
11.0ms
(/ y (- a t))
50.0ms
(* (/ y (- a t)) (- z t))

series181.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ y (- a t))
152.0ms
(* (/ y (- a t)) (- z t))

simplify65.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0471839
11985675
25001669

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.0b
(* y (/ (- z t) (- a t)))

rewrite75.0ms

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:
27.0ms
(/ (- z t) (- a t))
43.0ms
(* y (/ (- z t) (- a t)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z t) (- a t))
68.0ms
(* y (/ (- z t) (- a t)))

simplify53.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0356664
11414623
25001623

prune288.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
9.7b
(* (* y (/ 1 (- a t))) (- z t))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
53×*-un-lft-identity
36×add-cube-cbrt
32×times-frac
31×add-exp-log
26×associate-*r*
19×add-cbrt-cube
18×prod-diff
13×prod-exp
11×pow1 distribute-rgt-in distribute-lft-in
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-*r/ div-exp
5×flip3-- associate-/r* flip--
4×frac-times associate-*l* pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×sub-neg associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 145
Calls
3 calls:
14.0ms
(/ 1 (- a t))
29.0ms
(* y (/ 1 (- a t)))
64.0ms
(* (* y (/ 1 (- a t))) (- z t))

series214.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- a t))
33.0ms
(* y (/ 1 (- a t)))
146.0ms
(* (* y (/ 1 (- a t))) (- z t))

simplify78.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05581048
12665768
25001714

prune291.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

7.8% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.3b

bsearch66.0ms

Steps
ItersRangePoint
9
9.354890242965149e-94
1.1282739258083526e-86
3.141542066260725e-88
5
-3.4646309009931866e-203
-1.298111857980768e-203
-3.411193258922677e-203

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03316
13516
23516

end0.0ms

sample610.0ms

Algorithm
intervals
Results
263.0ms8760×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid