Details

Time bar (total: 4.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms278×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.4b
(* y (/ (- z t) (- z a)))

rewrite44.0ms

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

series119.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- z t) (- z a))
75.0ms
(* y (/ (- z t) (- z a)))

simplify48.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0358664
11410623
25002623

prune258.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.3b
(/ 1 (/ (- z a) (- z t)))
0.4b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite108.0ms

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×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u 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 → 333
Calls
3 calls:
16.0ms
(/ (- z a) (- z t))
15.0ms
(/ 1 (/ (- z a) (- z t)))
55.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series271.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- z a) (- z t))
96.0ms
(/ 1 (/ (- z a) (- z t)))
126.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify111.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08932747
145402460
250012173

prune646.0ms

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 a) (- z t))
0.4b
(/ y (/ (- z a) (- z t)))

rewrite43.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
16.0ms
(/ (- z a) (- z t))
15.0ms
(/ y (/ (- z a) (- z t)))

series171.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z a) (- z t))
119.0ms
(/ y (/ (- z a) (- z t)))

simplify86.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06391797
128671744
250011741

prune530.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(* (cbrt (- z t)) (cbrt (- z t)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
25.0ms
(* (cbrt (- z t)) (cbrt (- z t)))

series617.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (- z t))
152.0ms
(cbrt (- z t))
167.0ms
(cbrt (- z t))
140.0ms
(* (cbrt (- z t)) (cbrt (- z t)))

simplify161.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0270790
1956753
24631700
35001700

prune413.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (1.3b 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

sample539.0ms

Algorithm
intervals
Results
277.0ms8727×body80valid
0.0ms1×body640valid