Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
8.0ms287×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.8b
(fma (/ y (- a t)) (- z t) x)

rewrite7.0ms

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:
6.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series224.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- a t))
194.0ms
(fma (/ y (- a t)) (- z t) x)

simplify106.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune165.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
9.4b
(* (/ y (- a t)) (- z t))

rewrite40.0ms

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:
8.0ms
(/ y (- a t))
27.0ms
(* (/ y (- a t)) (- z t))

series197.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ y (- a t))
164.0ms
(* (/ y (- a t)) (- z t))

simplify56.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0471839
11985675
25001669

prune268.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.6b
(* y (/ (- z t) (- a t)))

rewrite43.0ms

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:
13.0ms
(/ (- z t) (- a t))
26.0ms
(* y (/ (- z t) (- a t)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- z t) (- a t))
75.0ms
(* y (/ (- z t) (- a t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0356664
11414623
25001623

prune259.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
13.5b
(/ (* y (- z t)) (- a t))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
12.0ms
(* y (- z t))
14.0ms
(/ (* y (- z t)) (- a t))

series110.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- z t))
73.0ms
(/ (* y (- z t)) (- a t))

simplify50.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0346543
11626380
25001380

prune154.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample516.0ms

Algorithm
intervals
Results
266.0ms8735×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid